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Finding the Third Proportional to 10,242.75 and 22,042.50

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Solution

The third proportional to 10,242.75 and 22,042.50 is: 47,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.75 : 22,042.50 = 22,042.50 : x
  2. Step 2: Convert to fraction form
    10,242.75/22,042.50 = 22,042.50/x
  3. Step 3: Cross multiply
    10,242.75x = 22,042.50 × 22,042.50
  4. Step 4: Simplify right side
    10,242.75x = 485,871,806.25
  5. Step 5: Solve for x
    x = 485,871,806.25/10,242.75
  6. Step 6: Final answer
    x = 47,435.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.