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Finding the Third Proportional to 9,854 and 13,421

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Solution

The third proportional to 9,854 and 13,421 is: 18,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854 : 13,421 = 13,421 : x
  2. Step 2: Convert to fraction form
    9,854/13,421 = 13,421/x
  3. Step 3: Cross multiply
    9,854x = 13,421 × 13,421
  4. Step 4: Simplify right side
    9,854x = 180,123,241
  5. Step 5: Solve for x
    x = 180,123,241/9,854
  6. Step 6: Final answer
    x = 18,279.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.