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Finding the Third Proportional to 24,863 and 48,466

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Solution

The third proportional to 24,863 and 48,466 is: 94,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,863 : 48,466 = 48,466 : x
  2. Step 2: Convert to fraction form
    24,863/48,466 = 48,466/x
  3. Step 3: Cross multiply
    24,863x = 48,466 × 48,466
  4. Step 4: Simplify right side
    24,863x = 2,348,953,156
  5. Step 5: Solve for x
    x = 2,348,953,156/24,863
  6. Step 6: Final answer
    x = 94,475.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.