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Finding the Third Proportional to 29,731.29 and 62,381.88

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Solution

The third proportional to 29,731.29 and 62,381.88 is: 130,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,731.29 : 62,381.88 = 62,381.88 : x
  2. Step 2: Convert to fraction form
    29,731.29/62,381.88 = 62,381.88/x
  3. Step 3: Cross multiply
    29,731.29x = 62,381.88 × 62,381.88
  4. Step 4: Simplify right side
    29,731.29x = 3,891,499,303.23
  5. Step 5: Solve for x
    x = 3,891,499,303.23/29,731.29
  6. Step 6: Final answer
    x = 130,889.02

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.