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Finding the Third Proportional to 49,489.50 and 63,022.50

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Solution

The third proportional to 49,489.50 and 63,022.50 is: 80,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,489.50 : 63,022.50 = 63,022.50 : x
  2. Step 2: Convert to fraction form
    49,489.50/63,022.50 = 63,022.50/x
  3. Step 3: Cross multiply
    49,489.50x = 63,022.50 × 63,022.50
  4. Step 4: Simplify right side
    49,489.50x = 3,971,835,506.25
  5. Step 5: Solve for x
    x = 3,971,835,506.25/49,489.50
  6. Step 6: Final answer
    x = 80,256.13

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.