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Finding the Third Proportional to 36,589 and 56,402

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Solution

The third proportional to 36,589 and 56,402 is: 86,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,589 : 56,402 = 56,402 : x
  2. Step 2: Convert to fraction form
    36,589/56,402 = 56,402/x
  3. Step 3: Cross multiply
    36,589x = 56,402 × 56,402
  4. Step 4: Simplify right side
    36,589x = 3,181,185,604
  5. Step 5: Solve for x
    x = 3,181,185,604/36,589
  6. Step 6: Final answer
    x = 86,943.77

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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.