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Finding the Third Proportional to 10,224 and 15,643

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Solution

The third proportional to 10,224 and 15,643 is: 23,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224 : 15,643 = 15,643 : x
  2. Step 2: Convert to fraction form
    10,224/15,643 = 15,643/x
  3. Step 3: Cross multiply
    10,224x = 15,643 × 15,643
  4. Step 4: Simplify right side
    10,224x = 244,703,449
  5. Step 5: Solve for x
    x = 244,703,449/10,224
  6. Step 6: Final answer
    x = 23,934.22

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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.