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Finding the Third Proportional to 25,530 and 39,577

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Solution

The third proportional to 25,530 and 39,577 is: 61,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,530 : 39,577 = 39,577 : x
  2. Step 2: Convert to fraction form
    25,530/39,577 = 39,577/x
  3. Step 3: Cross multiply
    25,530x = 39,577 × 39,577
  4. Step 4: Simplify right side
    25,530x = 1,566,338,929
  5. Step 5: Solve for x
    x = 1,566,338,929/25,530
  6. Step 6: Final answer
    x = 61,352.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.