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Finding the Third Proportional to 25,452.75 and 42,177.75

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Solution

The third proportional to 25,452.75 and 42,177.75 is: 69,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,452.75 : 42,177.75 = 42,177.75 : x
  2. Step 2: Convert to fraction form
    25,452.75/42,177.75 = 42,177.75/x
  3. Step 3: Cross multiply
    25,452.75x = 42,177.75 × 42,177.75
  4. Step 4: Simplify right side
    25,452.75x = 1,778,962,595.06
  5. Step 5: Solve for x
    x = 1,778,962,595.06/25,452.75
  6. Step 6: Final answer
    x = 69,892.75

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.