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Finding the Third Proportional to 15,052.50 and 31,725

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Solution

The third proportional to 15,052.50 and 31,725 is: 66,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,052.50 : 31,725 = 31,725 : x
  2. Step 2: Convert to fraction form
    15,052.50/31,725 = 31,725/x
  3. Step 3: Cross multiply
    15,052.50x = 31,725 × 31,725
  4. Step 4: Simplify right side
    15,052.50x = 1,006,475,625
  5. Step 5: Solve for x
    x = 1,006,475,625/15,052.50
  6. Step 6: Final answer
    x = 66,864.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.