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Finding the Third Proportional to 4,111 and 8,987

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Solution

The third proportional to 4,111 and 8,987 is: 19,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111 : 8,987 = 8,987 : x
  2. Step 2: Convert to fraction form
    4,111/8,987 = 8,987/x
  3. Step 3: Cross multiply
    4,111x = 8,987 × 8,987
  4. Step 4: Simplify right side
    4,111x = 80,766,169
  5. Step 5: Solve for x
    x = 80,766,169/4,111
  6. Step 6: Final answer
    x = 19,646.36

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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.