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Finding the Third Proportional to 4,811.91 and 6,487.59

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Solution

The third proportional to 4,811.91 and 6,487.59 is: 8,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.91 : 6,487.59 = 6,487.59 : x
  2. Step 2: Convert to fraction form
    4,811.91/6,487.59 = 6,487.59/x
  3. Step 3: Cross multiply
    4,811.91x = 6,487.59 × 6,487.59
  4. Step 4: Simplify right side
    4,811.91x = 42,088,872.67
  5. Step 5: Solve for x
    x = 42,088,872.67/4,811.91
  6. Step 6: Final answer
    x = 8,746.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.