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Finding the Third Proportional to 7,434.56 and 16,327.13

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Solution

The third proportional to 7,434.56 and 16,327.13 is: 35,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.56 : 16,327.13 = 16,327.13 : x
  2. Step 2: Convert to fraction form
    7,434.56/16,327.13 = 16,327.13/x
  3. Step 3: Cross multiply
    7,434.56x = 16,327.13 × 16,327.13
  4. Step 4: Simplify right side
    7,434.56x = 266,575,010.77
  5. Step 5: Solve for x
    x = 266,575,010.77/7,434.56
  6. Step 6: Final answer
    x = 35,856.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.