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Finding the Third Proportional to 10,262 and 15,937

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Solution

The third proportional to 10,262 and 15,937 is: 24,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262 : 15,937 = 15,937 : x
  2. Step 2: Convert to fraction form
    10,262/15,937 = 15,937/x
  3. Step 3: Cross multiply
    10,262x = 15,937 × 15,937
  4. Step 4: Simplify right side
    10,262x = 253,987,969
  5. Step 5: Solve for x
    x = 253,987,969/10,262
  6. Step 6: Final answer
    x = 24,750.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.