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Finding the Third Proportional to 13,757.98 and 29,515.01

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Solution

The third proportional to 13,757.98 and 29,515.01 is: 63,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.98 : 29,515.01 = 29,515.01 : x
  2. Step 2: Convert to fraction form
    13,757.98/29,515.01 = 29,515.01/x
  3. Step 3: Cross multiply
    13,757.98x = 29,515.01 × 29,515.01
  4. Step 4: Simplify right side
    13,757.98x = 871,135,686.17
  5. Step 5: Solve for x
    x = 871,135,686.17/13,757.98
  6. Step 6: Final answer
    x = 63,318.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.