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Finding the Third Proportional to 37,494 and 79,752

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Solution

The third proportional to 37,494 and 79,752 is: 169,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,494 : 79,752 = 79,752 : x
  2. Step 2: Convert to fraction form
    37,494/79,752 = 79,752/x
  3. Step 3: Cross multiply
    37,494x = 79,752 × 79,752
  4. Step 4: Simplify right side
    37,494x = 6,360,381,504
  5. Step 5: Solve for x
    x = 6,360,381,504/37,494
  6. Step 6: Final answer
    x = 169,637.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.