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Finding the Third Proportional to 40,358 and 60,681

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Solution

The third proportional to 40,358 and 60,681 is: 91,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,358 : 60,681 = 60,681 : x
  2. Step 2: Convert to fraction form
    40,358/60,681 = 60,681/x
  3. Step 3: Cross multiply
    40,358x = 60,681 × 60,681
  4. Step 4: Simplify right side
    40,358x = 3,682,183,761
  5. Step 5: Solve for x
    x = 3,682,183,761/40,358
  6. Step 6: Final answer
    x = 91,238.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.