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Finding the Third Proportional to 37,460.81 and 79,689.19

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Solution

The third proportional to 37,460.81 and 79,689.19 is: 169,520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,460.81 : 79,689.19 = 79,689.19 : x
  2. Step 2: Convert to fraction form
    37,460.81/79,689.19 = 79,689.19/x
  3. Step 3: Cross multiply
    37,460.81x = 79,689.19 × 79,689.19
  4. Step 4: Simplify right side
    37,460.81x = 6,350,366,604.41
  5. Step 5: Solve for x
    x = 6,350,366,604.41/37,460.81
  6. Step 6: Final answer
    x = 169,520.26

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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.