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Finding the Third Proportional to 49,357.69 and 77,348.25

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Solution

The third proportional to 49,357.69 and 77,348.25 is: 121,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,357.69 : 77,348.25 = 77,348.25 : x
  2. Step 2: Convert to fraction form
    49,357.69/77,348.25 = 77,348.25/x
  3. Step 3: Cross multiply
    49,357.69x = 77,348.25 × 77,348.25
  4. Step 4: Simplify right side
    49,357.69x = 5,982,751,778.06
  5. Step 5: Solve for x
    x = 5,982,751,778.06/49,357.69
  6. Step 6: Final answer
    x = 121,212.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.