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Finding the Third Proportional to 2,484 and 3,481

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Solution

The third proportional to 2,484 and 3,481 is: 4,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484 : 3,481 = 3,481 : x
  2. Step 2: Convert to fraction form
    2,484/3,481 = 3,481/x
  3. Step 3: Cross multiply
    2,484x = 3,481 × 3,481
  4. Step 4: Simplify right side
    2,484x = 12,117,361
  5. Step 5: Solve for x
    x = 12,117,361/2,484
  6. Step 6: Final answer
    x = 4,878.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.