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Finding the Third Proportional to 40,549 and 60,763

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Solution

The third proportional to 40,549 and 60,763 is: 91,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,549 : 60,763 = 60,763 : x
  2. Step 2: Convert to fraction form
    40,549/60,763 = 60,763/x
  3. Step 3: Cross multiply
    40,549x = 60,763 × 60,763
  4. Step 4: Simplify right side
    40,549x = 3,692,142,169
  5. Step 5: Solve for x
    x = 3,692,142,169/40,549
  6. Step 6: Final answer
    x = 91,053.84

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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.