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Finding the Third Proportional to 10,915.70 and 23,471.65

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Solution

The third proportional to 10,915.70 and 23,471.65 is: 50,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.70 : 23,471.65 = 23,471.65 : x
  2. Step 2: Convert to fraction form
    10,915.70/23,471.65 = 23,471.65/x
  3. Step 3: Cross multiply
    10,915.70x = 23,471.65 × 23,471.65
  4. Step 4: Simplify right side
    10,915.70x = 550,918,280.37
  5. Step 5: Solve for x
    x = 550,918,280.37/10,915.70
  6. Step 6: Final answer
    x = 50,470.27

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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.