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Finding the Third Proportional to 43,002 and 63,238.50

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Solution

The third proportional to 43,002 and 63,238.50 is: 92,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,002 : 63,238.50 = 63,238.50 : x
  2. Step 2: Convert to fraction form
    43,002/63,238.50 = 63,238.50/x
  3. Step 3: Cross multiply
    43,002x = 63,238.50 × 63,238.50
  4. Step 4: Simplify right side
    43,002x = 3,999,107,882.25
  5. Step 5: Solve for x
    x = 3,999,107,882.25/43,002
  6. Step 6: Final answer
    x = 92,998.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.