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Finding the Third Proportional to 5,193.28 and 8,005.92

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Solution

The third proportional to 5,193.28 and 8,005.92 is: 12,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.28 : 8,005.92 = 8,005.92 : x
  2. Step 2: Convert to fraction form
    5,193.28/8,005.92 = 8,005.92/x
  3. Step 3: Cross multiply
    5,193.28x = 8,005.92 × 8,005.92
  4. Step 4: Simplify right side
    5,193.28x = 64,094,785.07
  5. Step 5: Solve for x
    x = 64,094,785.07/5,193.28
  6. Step 6: Final answer
    x = 12,341.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.