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Finding the Third Proportional to 10,424 and 15,690

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Solution

The third proportional to 10,424 and 15,690 is: 23,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424 : 15,690 = 15,690 : x
  2. Step 2: Convert to fraction form
    10,424/15,690 = 15,690/x
  3. Step 3: Cross multiply
    10,424x = 15,690 × 15,690
  4. Step 4: Simplify right side
    10,424x = 246,176,100
  5. Step 5: Solve for x
    x = 246,176,100/10,424
  6. Step 6: Final answer
    x = 23,616.28

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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.