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Finding the Third Proportional to 31,252 and 63,664.50

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Solution

The third proportional to 31,252 and 63,664.50 is: 129,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,252 : 63,664.50 = 63,664.50 : x
  2. Step 2: Convert to fraction form
    31,252/63,664.50 = 63,664.50/x
  3. Step 3: Cross multiply
    31,252x = 63,664.50 × 63,664.50
  4. Step 4: Simplify right side
    31,252x = 4,053,168,560.25
  5. Step 5: Solve for x
    x = 4,053,168,560.25/31,252
  6. Step 6: Final answer
    x = 129,693.09

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.