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Finding the Third Proportional to 34,254.75 and 53,748.75

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Solution

The third proportional to 34,254.75 and 53,748.75 is: 84,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,254.75 : 53,748.75 = 53,748.75 : x
  2. Step 2: Convert to fraction form
    34,254.75/53,748.75 = 53,748.75/x
  3. Step 3: Cross multiply
    34,254.75x = 53,748.75 × 53,748.75
  4. Step 4: Simplify right side
    34,254.75x = 2,888,928,126.56
  5. Step 5: Solve for x
    x = 2,888,928,126.56/34,254.75
  6. Step 6: Final answer
    x = 84,336.57

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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.