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Finding the Third Proportional to 31,725 and 67,944

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Solution

The third proportional to 31,725 and 67,944 is: 145,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,725 : 67,944 = 67,944 : x
  2. Step 2: Convert to fraction form
    31,725/67,944 = 67,944/x
  3. Step 3: Cross multiply
    31,725x = 67,944 × 67,944
  4. Step 4: Simplify right side
    31,725x = 4,616,387,136
  5. Step 5: Solve for x
    x = 4,616,387,136/31,725
  6. Step 6: Final answer
    x = 145,512.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.