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Finding the Third Proportional to 35,765.61 and 77,067.07

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Solution

The third proportional to 35,765.61 and 77,067.07 is: 166,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,765.61 : 77,067.07 = 77,067.07 : x
  2. Step 2: Convert to fraction form
    35,765.61/77,067.07 = 77,067.07/x
  3. Step 3: Cross multiply
    35,765.61x = 77,067.07 × 77,067.07
  4. Step 4: Simplify right side
    35,765.61x = 5,939,333,326.55
  5. Step 5: Solve for x
    x = 5,939,333,326.55/35,765.61
  6. Step 6: Final answer
    x = 166,062.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.