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Finding the Third Proportional to 12,987 and 28,447

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Solution

The third proportional to 12,987 and 28,447 is: 62,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987 : 28,447 = 28,447 : x
  2. Step 2: Convert to fraction form
    12,987/28,447 = 28,447/x
  3. Step 3: Cross multiply
    12,987x = 28,447 × 28,447
  4. Step 4: Simplify right side
    12,987x = 809,231,809
  5. Step 5: Solve for x
    x = 809,231,809/12,987
  6. Step 6: Final answer
    x = 62,310.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.