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Finding the Third Proportional to 4,747.50 and 10,370.25

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Solution

The third proportional to 4,747.50 and 10,370.25 is: 22,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.50 : 10,370.25 = 10,370.25 : x
  2. Step 2: Convert to fraction form
    4,747.50/10,370.25 = 10,370.25/x
  3. Step 3: Cross multiply
    4,747.50x = 10,370.25 × 10,370.25
  4. Step 4: Simplify right side
    4,747.50x = 107,542,085.06
  5. Step 5: Solve for x
    x = 107,542,085.06/4,747.50
  6. Step 6: Final answer
    x = 22,652.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.