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Finding the Third Proportional to 35,052.75 and 75,385.69

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Solution

The third proportional to 35,052.75 and 75,385.69 is: 162,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,052.75 : 75,385.69 = 75,385.69 : x
  2. Step 2: Convert to fraction form
    35,052.75/75,385.69 = 75,385.69/x
  3. Step 3: Cross multiply
    35,052.75x = 75,385.69 × 75,385.69
  4. Step 4: Simplify right side
    35,052.75x = 5,683,001,879.85
  5. Step 5: Solve for x
    x = 5,683,001,879.85/35,052.75
  6. Step 6: Final answer
    x = 162,127.13

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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.