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Finding the Third Proportional to 36,532 and 56,337

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Solution

The third proportional to 36,532 and 56,337 is: 86,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532 : 56,337 = 56,337 : x
  2. Step 2: Convert to fraction form
    36,532/56,337 = 56,337/x
  3. Step 3: Cross multiply
    36,532x = 56,337 × 56,337
  4. Step 4: Simplify right side
    36,532x = 3,173,857,569
  5. Step 5: Solve for x
    x = 3,173,857,569/36,532
  6. Step 6: Final answer
    x = 86,878.83

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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.