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Finding the Third Proportional to 5,987 and 13,117

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Solution

The third proportional to 5,987 and 13,117 is: 28,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987 : 13,117 = 13,117 : x
  2. Step 2: Convert to fraction form
    5,987/13,117 = 13,117/x
  3. Step 3: Cross multiply
    5,987x = 13,117 × 13,117
  4. Step 4: Simplify right side
    5,987x = 172,055,689
  5. Step 5: Solve for x
    x = 172,055,689/5,987
  6. Step 6: Final answer
    x = 28,738.21

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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.