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Finding the Third Proportional to 31,417.31 and 68,363.02

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Solution

The third proportional to 31,417.31 and 68,363.02 is: 148,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.31 : 68,363.02 = 68,363.02 : x
  2. Step 2: Convert to fraction form
    31,417.31/68,363.02 = 68,363.02/x
  3. Step 3: Cross multiply
    31,417.31x = 68,363.02 × 68,363.02
  4. Step 4: Simplify right side
    31,417.31x = 4,673,501,905.34
  5. Step 5: Solve for x
    x = 4,673,501,905.34/31,417.31
  6. Step 6: Final answer
    x = 148,755.62

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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.