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Finding the Third Proportional to 10,413 and 15,880

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Solution

The third proportional to 10,413 and 15,880 is: 24,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413 : 15,880 = 15,880 : x
  2. Step 2: Convert to fraction form
    10,413/15,880 = 15,880/x
  3. Step 3: Cross multiply
    10,413x = 15,880 × 15,880
  4. Step 4: Simplify right side
    10,413x = 252,174,400
  5. Step 5: Solve for x
    x = 252,174,400/10,413
  6. Step 6: Final answer
    x = 24,217.27

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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.