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Finding the Third Proportional to 54,522 and 73,644.75

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Solution

The third proportional to 54,522 and 73,644.75 is: 99,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,522 : 73,644.75 = 73,644.75 : x
  2. Step 2: Convert to fraction form
    54,522/73,644.75 = 73,644.75/x
  3. Step 3: Cross multiply
    54,522x = 73,644.75 × 73,644.75
  4. Step 4: Simplify right side
    54,522x = 5,423,549,202.56
  5. Step 5: Solve for x
    x = 5,423,549,202.56/54,522
  6. Step 6: Final answer
    x = 99,474.51

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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.