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Finding the Third Proportional to 10,719.25 and 22,976.75

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Solution

The third proportional to 10,719.25 and 22,976.75 is: 49,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719.25 : 22,976.75 = 22,976.75 : x
  2. Step 2: Convert to fraction form
    10,719.25/22,976.75 = 22,976.75/x
  3. Step 3: Cross multiply
    10,719.25x = 22,976.75 × 22,976.75
  4. Step 4: Simplify right side
    10,719.25x = 527,931,040.56
  5. Step 5: Solve for x
    x = 527,931,040.56/10,719.25
  6. Step 6: Final answer
    x = 49,250.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.