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Finding the Third Proportional to 35,552.67 and 77,896.69

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Solution

The third proportional to 35,552.67 and 77,896.69 is: 170,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,552.67 : 77,896.69 = 77,896.69 : x
  2. Step 2: Convert to fraction form
    35,552.67/77,896.69 = 77,896.69/x
  3. Step 3: Cross multiply
    35,552.67x = 77,896.69 × 77,896.69
  4. Step 4: Simplify right side
    35,552.67x = 6,067,893,923.47
  5. Step 5: Solve for x
    x = 6,067,893,923.47/35,552.67
  6. Step 6: Final answer
    x = 170,673.36

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