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Finding the Third Proportional to 36,952 and 57,332

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Solution

The third proportional to 36,952 and 57,332 is: 88,952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952 : 57,332 = 57,332 : x
  2. Step 2: Convert to fraction form
    36,952/57,332 = 57,332/x
  3. Step 3: Cross multiply
    36,952x = 57,332 × 57,332
  4. Step 4: Simplify right side
    36,952x = 3,286,958,224
  5. Step 5: Solve for x
    x = 3,286,958,224/36,952
  6. Step 6: Final answer
    x = 88,952.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.