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Finding the Third Proportional to 40,598 and 60,692

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Solution

The third proportional to 40,598 and 60,692 is: 90,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,598 : 60,692 = 60,692 : x
  2. Step 2: Convert to fraction form
    40,598/60,692 = 60,692/x
  3. Step 3: Cross multiply
    40,598x = 60,692 × 60,692
  4. Step 4: Simplify right side
    40,598x = 3,683,518,864
  5. Step 5: Solve for x
    x = 3,683,518,864/40,598
  6. Step 6: Final answer
    x = 90,731.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.