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Finding the Third Proportional to 15,957 and 25,609.50

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Solution

The third proportional to 15,957 and 25,609.50 is: 41,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 25,609.50 = 25,609.50 : x
  2. Step 2: Convert to fraction form
    15,957/25,609.50 = 25,609.50/x
  3. Step 3: Cross multiply
    15,957x = 25,609.50 × 25,609.50
  4. Step 4: Simplify right side
    15,957x = 655,846,490.25
  5. Step 5: Solve for x
    x = 655,846,490.25/15,957
  6. Step 6: Final answer
    x = 41,100.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.