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Finding the Third Proportional to 3,713.34 and 5,429.53

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Solution

The third proportional to 3,713.34 and 5,429.53 is: 7,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.34 : 5,429.53 = 5,429.53 : x
  2. Step 2: Convert to fraction form
    3,713.34/5,429.53 = 5,429.53/x
  3. Step 3: Cross multiply
    3,713.34x = 5,429.53 × 5,429.53
  4. Step 4: Simplify right side
    3,713.34x = 29,479,809.59
  5. Step 5: Solve for x
    x = 29,479,809.59/3,713.34
  6. Step 6: Final answer
    x = 7,938.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.