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Finding the Third Proportional to 37,482 and 79,818

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Solution

The third proportional to 37,482 and 79,818 is: 169,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,482 : 79,818 = 79,818 : x
  2. Step 2: Convert to fraction form
    37,482/79,818 = 79,818/x
  3. Step 3: Cross multiply
    37,482x = 79,818 × 79,818
  4. Step 4: Simplify right side
    37,482x = 6,370,913,124
  5. Step 5: Solve for x
    x = 6,370,913,124/37,482
  6. Step 6: Final answer
    x = 169,972.60

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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.