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Finding the Third Proportional to 4,418 and 9,511

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Solution

The third proportional to 4,418 and 9,511 is: 20,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418 : 9,511 = 9,511 : x
  2. Step 2: Convert to fraction form
    4,418/9,511 = 9,511/x
  3. Step 3: Cross multiply
    4,418x = 9,511 × 9,511
  4. Step 4: Simplify right side
    4,418x = 90,459,121
  5. Step 5: Solve for x
    x = 90,459,121/4,418
  6. Step 6: Final answer
    x = 20,475.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.