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Finding the Third Proportional to 40,246.50 and 63,822

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Solution

The third proportional to 40,246.50 and 63,822 is: 101,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,246.50 : 63,822 = 63,822 : x
  2. Step 2: Convert to fraction form
    40,246.50/63,822 = 63,822/x
  3. Step 3: Cross multiply
    40,246.50x = 63,822 × 63,822
  4. Step 4: Simplify right side
    40,246.50x = 4,073,247,684
  5. Step 5: Solve for x
    x = 4,073,247,684/40,246.50
  6. Step 6: Final answer
    x = 101,207.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.