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Finding the Third Proportional to 25,481 and 37,438

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Solution

The third proportional to 25,481 and 37,438 is: 55,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,481 : 37,438 = 37,438 : x
  2. Step 2: Convert to fraction form
    25,481/37,438 = 37,438/x
  3. Step 3: Cross multiply
    25,481x = 37,438 × 37,438
  4. Step 4: Simplify right side
    25,481x = 1,401,603,844
  5. Step 5: Solve for x
    x = 1,401,603,844/25,481
  6. Step 6: Final answer
    x = 55,005.84

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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.