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Finding the Third Proportional to 36,522 and 52,191

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Solution

The third proportional to 36,522 and 52,191 is: 74,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,522 : 52,191 = 52,191 : x
  2. Step 2: Convert to fraction form
    36,522/52,191 = 52,191/x
  3. Step 3: Cross multiply
    36,522x = 52,191 × 52,191
  4. Step 4: Simplify right side
    36,522x = 2,723,900,481
  5. Step 5: Solve for x
    x = 2,723,900,481/36,522
  6. Step 6: Final answer
    x = 74,582.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.