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Finding the Third Proportional to 12,442 and 18,987

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Solution

The third proportional to 12,442 and 18,987 is: 28,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442 : 18,987 = 18,987 : x
  2. Step 2: Convert to fraction form
    12,442/18,987 = 18,987/x
  3. Step 3: Cross multiply
    12,442x = 18,987 × 18,987
  4. Step 4: Simplify right side
    12,442x = 360,506,169
  5. Step 5: Solve for x
    x = 360,506,169/12,442
  6. Step 6: Final answer
    x = 28,974.94

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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.