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Finding the Third Proportional to 40,533 and 54,567

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Solution

The third proportional to 40,533 and 54,567 is: 73,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,533 : 54,567 = 54,567 : x
  2. Step 2: Convert to fraction form
    40,533/54,567 = 54,567/x
  3. Step 3: Cross multiply
    40,533x = 54,567 × 54,567
  4. Step 4: Simplify right side
    40,533x = 2,977,557,489
  5. Step 5: Solve for x
    x = 2,977,557,489/40,533
  6. Step 6: Final answer
    x = 73,460.08

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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.