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Finding the Third Proportional to 22,999.31 and 34,612.69

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Solution

The third proportional to 22,999.31 and 34,612.69 is: 52,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999.31 : 34,612.69 = 34,612.69 : x
  2. Step 2: Convert to fraction form
    22,999.31/34,612.69 = 34,612.69/x
  3. Step 3: Cross multiply
    22,999.31x = 34,612.69 × 34,612.69
  4. Step 4: Simplify right side
    22,999.31x = 1,198,038,135.97
  5. Step 5: Solve for x
    x = 1,198,038,135.97/22,999.31
  6. Step 6: Final answer
    x = 52,090.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.