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Finding the Third Proportional to 24,282 and 34,389

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Solution

The third proportional to 24,282 and 34,389 is: 48,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282 : 34,389 = 34,389 : x
  2. Step 2: Convert to fraction form
    24,282/34,389 = 34,389/x
  3. Step 3: Cross multiply
    24,282x = 34,389 × 34,389
  4. Step 4: Simplify right side
    24,282x = 1,182,603,321
  5. Step 5: Solve for x
    x = 1,182,603,321/24,282
  6. Step 6: Final answer
    x = 48,702.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.