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Finding the Third Proportional to 6,039.56 and 7,416.56

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Solution

The third proportional to 6,039.56 and 7,416.56 is: 9,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039.56 : 7,416.56 = 7,416.56 : x
  2. Step 2: Convert to fraction form
    6,039.56/7,416.56 = 7,416.56/x
  3. Step 3: Cross multiply
    6,039.56x = 7,416.56 × 7,416.56
  4. Step 4: Simplify right side
    6,039.56x = 55,005,399.32
  5. Step 5: Solve for x
    x = 55,005,399.32/6,039.56
  6. Step 6: Final answer
    x = 9,107.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.