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Finding the Third Proportional to 40,588 and 61,396

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Solution

The third proportional to 40,588 and 61,396 is: 92,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,588 : 61,396 = 61,396 : x
  2. Step 2: Convert to fraction form
    40,588/61,396 = 61,396/x
  3. Step 3: Cross multiply
    40,588x = 61,396 × 61,396
  4. Step 4: Simplify right side
    40,588x = 3,769,468,816
  5. Step 5: Solve for x
    x = 3,769,468,816/40,588
  6. Step 6: Final answer
    x = 92,871.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.