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Finding the Third Proportional to 44,800 and 67,216

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Solution

The third proportional to 44,800 and 67,216 is: 100,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,800 : 67,216 = 67,216 : x
  2. Step 2: Convert to fraction form
    44,800/67,216 = 67,216/x
  3. Step 3: Cross multiply
    44,800x = 67,216 × 67,216
  4. Step 4: Simplify right side
    44,800x = 4,517,990,656
  5. Step 5: Solve for x
    x = 4,517,990,656/44,800
  6. Step 6: Final answer
    x = 100,848.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.