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Finding the Third Proportional to 10,514 and 15,772

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Solution

The third proportional to 10,514 and 15,772 is: 23,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514 : 15,772 = 15,772 : x
  2. Step 2: Convert to fraction form
    10,514/15,772 = 15,772/x
  3. Step 3: Cross multiply
    10,514x = 15,772 × 15,772
  4. Step 4: Simplify right side
    10,514x = 248,755,984
  5. Step 5: Solve for x
    x = 248,755,984/10,514
  6. Step 6: Final answer
    x = 23,659.50

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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.