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Finding the Third Proportional to 37,830.38 and 83,007.19

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Solution

The third proportional to 37,830.38 and 83,007.19 is: 182,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,830.38 : 83,007.19 = 83,007.19 : x
  2. Step 2: Convert to fraction form
    37,830.38/83,007.19 = 83,007.19/x
  3. Step 3: Cross multiply
    37,830.38x = 83,007.19 × 83,007.19
  4. Step 4: Simplify right side
    37,830.38x = 6,890,193,176.66
  5. Step 5: Solve for x
    x = 6,890,193,176.66/37,830.38
  6. Step 6: Final answer
    x = 182,133.89

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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.