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Finding the Third Proportional to 25,184.75 and 37,081

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Solution

The third proportional to 25,184.75 and 37,081 is: 54,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184.75 : 37,081 = 37,081 : x
  2. Step 2: Convert to fraction form
    25,184.75/37,081 = 37,081/x
  3. Step 3: Cross multiply
    25,184.75x = 37,081 × 37,081
  4. Step 4: Simplify right side
    25,184.75x = 1,375,000,561
  5. Step 5: Solve for x
    x = 1,375,000,561/25,184.75
  6. Step 6: Final answer
    x = 54,596.55

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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.