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Finding the Third Proportional to 10,238 and 15,737

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Solution

The third proportional to 10,238 and 15,737 is: 24,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238 : 15,737 = 15,737 : x
  2. Step 2: Convert to fraction form
    10,238/15,737 = 15,737/x
  3. Step 3: Cross multiply
    10,238x = 15,737 × 15,737
  4. Step 4: Simplify right side
    10,238x = 247,653,169
  5. Step 5: Solve for x
    x = 247,653,169/10,238
  6. Step 6: Final answer
    x = 24,189.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.