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Finding the Third Proportional to 37,891.13 and 83,148.19

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Solution

The third proportional to 37,891.13 and 83,148.19 is: 182,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891.13 : 83,148.19 = 83,148.19 : x
  2. Step 2: Convert to fraction form
    37,891.13/83,148.19 = 83,148.19/x
  3. Step 3: Cross multiply
    37,891.13x = 83,148.19 × 83,148.19
  4. Step 4: Simplify right side
    37,891.13x = 6,913,621,084.54
  5. Step 5: Solve for x
    x = 6,913,621,084.54/37,891.13
  6. Step 6: Final answer
    x = 182,460.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.