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Finding the Third Proportional to 10,222 and 15,632

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Solution

The third proportional to 10,222 and 15,632 is: 23,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222 : 15,632 = 15,632 : x
  2. Step 2: Convert to fraction form
    10,222/15,632 = 15,632/x
  3. Step 3: Cross multiply
    10,222x = 15,632 × 15,632
  4. Step 4: Simplify right side
    10,222x = 244,359,424
  5. Step 5: Solve for x
    x = 244,359,424/10,222
  6. Step 6: Final answer
    x = 23,905.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.