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Finding the Third Proportional to 36,216 and 57,624

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Solution

The third proportional to 36,216 and 57,624 is: 91,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,216 : 57,624 = 57,624 : x
  2. Step 2: Convert to fraction form
    36,216/57,624 = 57,624/x
  3. Step 3: Cross multiply
    36,216x = 57,624 × 57,624
  4. Step 4: Simplify right side
    36,216x = 3,320,525,376
  5. Step 5: Solve for x
    x = 3,320,525,376/36,216
  6. Step 6: Final answer
    x = 91,686.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.