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Finding the Third Proportional to 24,882.75 and 36,587.25

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Solution

The third proportional to 24,882.75 and 36,587.25 is: 53,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882.75 : 36,587.25 = 36,587.25 : x
  2. Step 2: Convert to fraction form
    24,882.75/36,587.25 = 36,587.25/x
  3. Step 3: Cross multiply
    24,882.75x = 36,587.25 × 36,587.25
  4. Step 4: Simplify right side
    24,882.75x = 1,338,626,862.56
  5. Step 5: Solve for x
    x = 1,338,626,862.56/24,882.75
  6. Step 6: Final answer
    x = 53,797.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.