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Finding the Third Proportional to 4,637.25 and 10,158.75

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Solution

The third proportional to 4,637.25 and 10,158.75 is: 22,254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.25 : 10,158.75 = 10,158.75 : x
  2. Step 2: Convert to fraction form
    4,637.25/10,158.75 = 10,158.75/x
  3. Step 3: Cross multiply
    4,637.25x = 10,158.75 × 10,158.75
  4. Step 4: Simplify right side
    4,637.25x = 103,200,201.56
  5. Step 5: Solve for x
    x = 103,200,201.56/4,637.25
  6. Step 6: Final answer
    x = 22,254.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.