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Finding the Third Proportional to 24,878 and 38,519

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Solution

The third proportional to 24,878 and 38,519 is: 59,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878 : 38,519 = 38,519 : x
  2. Step 2: Convert to fraction form
    24,878/38,519 = 38,519/x
  3. Step 3: Cross multiply
    24,878x = 38,519 × 38,519
  4. Step 4: Simplify right side
    24,878x = 1,483,713,361
  5. Step 5: Solve for x
    x = 1,483,713,361/24,878
  6. Step 6: Final answer
    x = 59,639.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.