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Finding the Third Proportional to 24,698.25 and 48,151.13

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Solution

The third proportional to 24,698.25 and 48,151.13 is: 93,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.25 : 48,151.13 = 48,151.13 : x
  2. Step 2: Convert to fraction form
    24,698.25/48,151.13 = 48,151.13/x
  3. Step 3: Cross multiply
    24,698.25x = 48,151.13 × 48,151.13
  4. Step 4: Simplify right side
    24,698.25x = 2,318,530,838.77
  5. Step 5: Solve for x
    x = 2,318,530,838.77/24,698.25
  6. Step 6: Final answer
    x = 93,874.30

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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.