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Finding the Third Proportional to 10,100 and 15,729

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Solution

The third proportional to 10,100 and 15,729 is: 24,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100 : 15,729 = 15,729 : x
  2. Step 2: Convert to fraction form
    10,100/15,729 = 15,729/x
  3. Step 3: Cross multiply
    10,100x = 15,729 × 15,729
  4. Step 4: Simplify right side
    10,100x = 247,401,441
  5. Step 5: Solve for x
    x = 247,401,441/10,100
  6. Step 6: Final answer
    x = 24,495.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.