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Finding the Third Proportional to 15,957 and 25,339.50

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Solution

The third proportional to 15,957 and 25,339.50 is: 40,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957 : 25,339.50 = 25,339.50 : x
  2. Step 2: Convert to fraction form
    15,957/25,339.50 = 25,339.50/x
  3. Step 3: Cross multiply
    15,957x = 25,339.50 × 25,339.50
  4. Step 4: Simplify right side
    15,957x = 642,090,260.25
  5. Step 5: Solve for x
    x = 642,090,260.25/15,957
  6. Step 6: Final answer
    x = 40,238.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.