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Finding the Third Proportional to 47,264 and 72,552

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Solution

The third proportional to 47,264 and 72,552 is: 111,370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,264 : 72,552 = 72,552 : x
  2. Step 2: Convert to fraction form
    47,264/72,552 = 72,552/x
  3. Step 3: Cross multiply
    47,264x = 72,552 × 72,552
  4. Step 4: Simplify right side
    47,264x = 5,263,792,704
  5. Step 5: Solve for x
    x = 5,263,792,704/47,264
  6. Step 6: Final answer
    x = 111,370.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.