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Finding the Third Proportional to 23,656.50 and 31,725

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Solution

The third proportional to 23,656.50 and 31,725 is: 42,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.50 : 31,725 = 31,725 : x
  2. Step 2: Convert to fraction form
    23,656.50/31,725 = 31,725/x
  3. Step 3: Cross multiply
    23,656.50x = 31,725 × 31,725
  4. Step 4: Simplify right side
    23,656.50x = 1,006,475,625
  5. Step 5: Solve for x
    x = 1,006,475,625/23,656.50
  6. Step 6: Final answer
    x = 42,545.42

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.