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Finding the Third Proportional to 35,019.38 and 52,565.25

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Solution

The third proportional to 35,019.38 and 52,565.25 is: 78,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,019.38 : 52,565.25 = 52,565.25 : x
  2. Step 2: Convert to fraction form
    35,019.38/52,565.25 = 52,565.25/x
  3. Step 3: Cross multiply
    35,019.38x = 52,565.25 × 52,565.25
  4. Step 4: Simplify right side
    35,019.38x = 2,763,105,507.56
  5. Step 5: Solve for x
    x = 2,763,105,507.56/35,019.38
  6. Step 6: Final answer
    x = 78,902.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.