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Finding the Third Proportional to 12,524 and 16,130

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Solution

The third proportional to 12,524 and 16,130 is: 20,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524 : 16,130 = 16,130 : x
  2. Step 2: Convert to fraction form
    12,524/16,130 = 16,130/x
  3. Step 3: Cross multiply
    12,524x = 16,130 × 16,130
  4. Step 4: Simplify right side
    12,524x = 260,176,900
  5. Step 5: Solve for x
    x = 260,176,900/12,524
  6. Step 6: Final answer
    x = 20,774.27

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.