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Finding the Third Proportional to 5,783.91 and 8,113.92

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Solution

The third proportional to 5,783.91 and 8,113.92 is: 11,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.91 : 8,113.92 = 8,113.92 : x
  2. Step 2: Convert to fraction form
    5,783.91/8,113.92 = 8,113.92/x
  3. Step 3: Cross multiply
    5,783.91x = 8,113.92 × 8,113.92
  4. Step 4: Simplify right side
    5,783.91x = 65,835,728.19
  5. Step 5: Solve for x
    x = 65,835,728.19/5,783.91
  6. Step 6: Final answer
    x = 11,382.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.