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Finding the Third Proportional to 25,548 and 38,357

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Solution

The third proportional to 25,548 and 38,357 is: 57,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548 : 38,357 = 38,357 : x
  2. Step 2: Convert to fraction form
    25,548/38,357 = 38,357/x
  3. Step 3: Cross multiply
    25,548x = 38,357 × 38,357
  4. Step 4: Simplify right side
    25,548x = 1,471,259,449
  5. Step 5: Solve for x
    x = 1,471,259,449/25,548
  6. Step 6: Final answer
    x = 57,588.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.