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Finding the Third Proportional to 37,641.38 and 77,743.13

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Solution

The third proportional to 37,641.38 and 77,743.13 is: 160,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641.38 : 77,743.13 = 77,743.13 : x
  2. Step 2: Convert to fraction form
    37,641.38/77,743.13 = 77,743.13/x
  3. Step 3: Cross multiply
    37,641.38x = 77,743.13 × 77,743.13
  4. Step 4: Simplify right side
    37,641.38x = 6,043,993,484.77
  5. Step 5: Solve for x
    x = 6,043,993,484.77/37,641.38
  6. Step 6: Final answer
    x = 160,567.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.