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Finding the Third Proportional to 8,979 and 9,987

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Solution

The third proportional to 8,979 and 9,987 is: 11,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,979 : 9,987 = 9,987 : x
  2. Step 2: Convert to fraction form
    8,979/9,987 = 9,987/x
  3. Step 3: Cross multiply
    8,979x = 9,987 × 9,987
  4. Step 4: Simplify right side
    8,979x = 99,740,169
  5. Step 5: Solve for x
    x = 99,740,169/8,979
  6. Step 6: Final answer
    x = 11,108.16

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.