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Finding the Third Proportional to 39,952 and 57,548

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Solution

The third proportional to 39,952 and 57,548 is: 82,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,952 : 57,548 = 57,548 : x
  2. Step 2: Convert to fraction form
    39,952/57,548 = 57,548/x
  3. Step 3: Cross multiply
    39,952x = 57,548 × 57,548
  4. Step 4: Simplify right side
    39,952x = 3,311,772,304
  5. Step 5: Solve for x
    x = 3,311,772,304/39,952
  6. Step 6: Final answer
    x = 82,893.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.