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Finding the Third Proportional to 48,546 and 72,747

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Solution

The third proportional to 48,546 and 72,747 is: 109,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,546 : 72,747 = 72,747 : x
  2. Step 2: Convert to fraction form
    48,546/72,747 = 72,747/x
  3. Step 3: Cross multiply
    48,546x = 72,747 × 72,747
  4. Step 4: Simplify right side
    48,546x = 5,292,126,009
  5. Step 5: Solve for x
    x = 5,292,126,009/48,546
  6. Step 6: Final answer
    x = 109,012.61

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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.