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Finding the Third Proportional to 4,675.50 and 10,151.25

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Solution

The third proportional to 4,675.50 and 10,151.25 is: 22,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.50 : 10,151.25 = 10,151.25 : x
  2. Step 2: Convert to fraction form
    4,675.50/10,151.25 = 10,151.25/x
  3. Step 3: Cross multiply
    4,675.50x = 10,151.25 × 10,151.25
  4. Step 4: Simplify right side
    4,675.50x = 103,047,876.56
  5. Step 5: Solve for x
    x = 103,047,876.56/4,675.50
  6. Step 6: Final answer
    x = 22,039.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.