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Finding the Third Proportional to 35,502.75 and 76,540.50

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Solution

The third proportional to 35,502.75 and 76,540.50 is: 165,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,502.75 : 76,540.50 = 76,540.50 : x
  2. Step 2: Convert to fraction form
    35,502.75/76,540.50 = 76,540.50/x
  3. Step 3: Cross multiply
    35,502.75x = 76,540.50 × 76,540.50
  4. Step 4: Simplify right side
    35,502.75x = 5,858,448,140.25
  5. Step 5: Solve for x
    x = 5,858,448,140.25/35,502.75
  6. Step 6: Final answer
    x = 165,013.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.