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Finding the Third Proportional to 25,508 and 37,484

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Solution

The third proportional to 25,508 and 37,484 is: 55,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508 : 37,484 = 37,484 : x
  2. Step 2: Convert to fraction form
    25,508/37,484 = 37,484/x
  3. Step 3: Cross multiply
    25,508x = 37,484 × 37,484
  4. Step 4: Simplify right side
    25,508x = 1,405,050,256
  5. Step 5: Solve for x
    x = 1,405,050,256/25,508
  6. Step 6: Final answer
    x = 55,082.73

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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.