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Finding the Third Proportional to 13,732.88 and 29,921.06

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Solution

The third proportional to 13,732.88 and 29,921.06 is: 65,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.88 : 29,921.06 = 29,921.06 : x
  2. Step 2: Convert to fraction form
    13,732.88/29,921.06 = 29,921.06/x
  3. Step 3: Cross multiply
    13,732.88x = 29,921.06 × 29,921.06
  4. Step 4: Simplify right side
    13,732.88x = 895,269,981.13
  5. Step 5: Solve for x
    x = 895,269,981.13/13,732.88
  6. Step 6: Final answer
    x = 65,191.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.