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Finding the Third Proportional to 41,532 and 59,341

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Solution

The third proportional to 41,532 and 59,341 is: 84,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,532 : 59,341 = 59,341 : x
  2. Step 2: Convert to fraction form
    41,532/59,341 = 59,341/x
  3. Step 3: Cross multiply
    41,532x = 59,341 × 59,341
  4. Step 4: Simplify right side
    41,532x = 3,521,354,281
  5. Step 5: Solve for x
    x = 3,521,354,281/41,532
  6. Step 6: Final answer
    x = 84,786.53

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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.