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Finding the Third Proportional to 10,809.70 and 23,293.83

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Solution

The third proportional to 10,809.70 and 23,293.83 is: 50,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.70 : 23,293.83 = 23,293.83 : x
  2. Step 2: Convert to fraction form
    10,809.70/23,293.83 = 23,293.83/x
  3. Step 3: Cross multiply
    10,809.70x = 23,293.83 × 23,293.83
  4. Step 4: Simplify right side
    10,809.70x = 542,602,428.72
  5. Step 5: Solve for x
    x = 542,602,428.72/10,809.70
  6. Step 6: Final answer
    x = 50,195.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.