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Finding the Third Proportional to 10,438 and 15,662

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Solution

The third proportional to 10,438 and 15,662 is: 23,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438 : 15,662 = 15,662 : x
  2. Step 2: Convert to fraction form
    10,438/15,662 = 15,662/x
  3. Step 3: Cross multiply
    10,438x = 15,662 × 15,662
  4. Step 4: Simplify right side
    10,438x = 245,298,244
  5. Step 5: Solve for x
    x = 245,298,244/10,438
  6. Step 6: Final answer
    x = 23,500.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.