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Finding the Third Proportional to 34,130.11 and 53,424.56

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Solution

The third proportional to 34,130.11 and 53,424.56 is: 83,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,130.11 : 53,424.56 = 53,424.56 : x
  2. Step 2: Convert to fraction form
    34,130.11/53,424.56 = 53,424.56/x
  3. Step 3: Cross multiply
    34,130.11x = 53,424.56 × 53,424.56
  4. Step 4: Simplify right side
    34,130.11x = 2,854,183,878.32
  5. Step 5: Solve for x
    x = 2,854,183,878.32/34,130.11
  6. Step 6: Final answer
    x = 83,626.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.