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Finding the Third Proportional to 10,619.86 and 23,286.23

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Solution

The third proportional to 10,619.86 and 23,286.23 is: 51,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.86 : 23,286.23 = 23,286.23 : x
  2. Step 2: Convert to fraction form
    10,619.86/23,286.23 = 23,286.23/x
  3. Step 3: Cross multiply
    10,619.86x = 23,286.23 × 23,286.23
  4. Step 4: Simplify right side
    10,619.86x = 542,248,711.37
  5. Step 5: Solve for x
    x = 542,248,711.37/10,619.86
  6. Step 6: Final answer
    x = 51,059.88

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Why These Related Problems?

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