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Finding the Third Proportional to 10,164 and 15,372

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Solution

The third proportional to 10,164 and 15,372 is: 23,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164 : 15,372 = 15,372 : x
  2. Step 2: Convert to fraction form
    10,164/15,372 = 15,372/x
  3. Step 3: Cross multiply
    10,164x = 15,372 × 15,372
  4. Step 4: Simplify right side
    10,164x = 236,298,384
  5. Step 5: Solve for x
    x = 236,298,384/10,164
  6. Step 6: Final answer
    x = 23,248.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.