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Finding the Third Proportional to 4,781.50 and 10,481

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Solution

The third proportional to 4,781.50 and 10,481 is: 22,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.50 : 10,481 = 10,481 : x
  2. Step 2: Convert to fraction form
    4,781.50/10,481 = 10,481/x
  3. Step 3: Cross multiply
    4,781.50x = 10,481 × 10,481
  4. Step 4: Simplify right side
    4,781.50x = 109,851,361
  5. Step 5: Solve for x
    x = 109,851,361/4,781.50
  6. Step 6: Final answer
    x = 22,974.25

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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.