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Finding the Third Proportional to 11,862 and 15,830

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Solution

The third proportional to 11,862 and 15,830 is: 21,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862 : 15,830 = 15,830 : x
  2. Step 2: Convert to fraction form
    11,862/15,830 = 15,830/x
  3. Step 3: Cross multiply
    11,862x = 15,830 × 15,830
  4. Step 4: Simplify right side
    11,862x = 250,588,900
  5. Step 5: Solve for x
    x = 250,588,900/11,862
  6. Step 6: Final answer
    x = 21,125.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.