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Finding the Third Proportional to 40,580 and 62,412

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Solution

The third proportional to 40,580 and 62,412 is: 95,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,580 : 62,412 = 62,412 : x
  2. Step 2: Convert to fraction form
    40,580/62,412 = 62,412/x
  3. Step 3: Cross multiply
    40,580x = 62,412 × 62,412
  4. Step 4: Simplify right side
    40,580x = 3,895,257,744
  5. Step 5: Solve for x
    x = 3,895,257,744/40,580
  6. Step 6: Final answer
    x = 95,989.59

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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.