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Finding the Third Proportional to 36,282 and 56,041

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Solution

The third proportional to 36,282 and 56,041 is: 86,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,282 : 56,041 = 56,041 : x
  2. Step 2: Convert to fraction form
    36,282/56,041 = 56,041/x
  3. Step 3: Cross multiply
    36,282x = 56,041 × 56,041
  4. Step 4: Simplify right side
    36,282x = 3,140,593,681
  5. Step 5: Solve for x
    x = 3,140,593,681/36,282
  6. Step 6: Final answer
    x = 86,560.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.