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Finding the Third Proportional to 37,401.12 and 75,645.14

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Solution

The third proportional to 37,401.12 and 75,645.14 is: 152,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,401.12 : 75,645.14 = 75,645.14 : x
  2. Step 2: Convert to fraction form
    37,401.12/75,645.14 = 75,645.14/x
  3. Step 3: Cross multiply
    37,401.12x = 75,645.14 × 75,645.14
  4. Step 4: Simplify right side
    37,401.12x = 5,722,187,300.18
  5. Step 5: Solve for x
    x = 5,722,187,300.18/37,401.12
  6. Step 6: Final answer
    x = 152,995.09

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.