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Finding the Third Proportional to 30,807.84 and 65,169.56

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Solution

The third proportional to 30,807.84 and 65,169.56 is: 137,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807.84 : 65,169.56 = 65,169.56 : x
  2. Step 2: Convert to fraction form
    30,807.84/65,169.56 = 65,169.56/x
  3. Step 3: Cross multiply
    30,807.84x = 65,169.56 × 65,169.56
  4. Step 4: Simplify right side
    30,807.84x = 4,247,071,876.44
  5. Step 5: Solve for x
    x = 4,247,071,876.44/30,807.84
  6. Step 6: Final answer
    x = 137,856.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.