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Finding the Third Proportional to 54,552 and 73,671

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Solution

The third proportional to 54,552 and 73,671 is: 99,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,552 : 73,671 = 73,671 : x
  2. Step 2: Convert to fraction form
    54,552/73,671 = 73,671/x
  3. Step 3: Cross multiply
    54,552x = 73,671 × 73,671
  4. Step 4: Simplify right side
    54,552x = 5,427,416,241
  5. Step 5: Solve for x
    x = 5,427,416,241/54,552
  6. Step 6: Final answer
    x = 99,490.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.