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Finding the Third Proportional to 40,706 and 60,752

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Solution

The third proportional to 40,706 and 60,752 is: 90,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,706 : 60,752 = 60,752 : x
  2. Step 2: Convert to fraction form
    40,706/60,752 = 60,752/x
  3. Step 3: Cross multiply
    40,706x = 60,752 × 60,752
  4. Step 4: Simplify right side
    40,706x = 3,690,805,504
  5. Step 5: Solve for x
    x = 3,690,805,504/40,706
  6. Step 6: Final answer
    x = 90,669.82

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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.