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Finding the Third Proportional to 12,358.31 and 29,138.06

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Solution

The third proportional to 12,358.31 and 29,138.06 is: 68,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.31 : 29,138.06 = 29,138.06 : x
  2. Step 2: Convert to fraction form
    12,358.31/29,138.06 = 29,138.06/x
  3. Step 3: Cross multiply
    12,358.31x = 29,138.06 × 29,138.06
  4. Step 4: Simplify right side
    12,358.31x = 849,026,686.25
  5. Step 5: Solve for x
    x = 849,026,686.25/12,358.31
  6. Step 6: Final answer
    x = 68,700.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.