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Finding the Third Proportional to 2,023.38 and 2,915.38

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Solution

The third proportional to 2,023.38 and 2,915.38 is: 4,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.38 : 2,915.38 = 2,915.38 : x
  2. Step 2: Convert to fraction form
    2,023.38/2,915.38 = 2,915.38/x
  3. Step 3: Cross multiply
    2,023.38x = 2,915.38 × 2,915.38
  4. Step 4: Simplify right side
    2,023.38x = 8,499,411.39
  5. Step 5: Solve for x
    x = 8,499,411.39/2,023.38
  6. Step 6: Final answer
    x = 4,200.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.