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Finding the Third Proportional to 2,609.44 and 4,046.77

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Solution

The third proportional to 2,609.44 and 4,046.77 is: 6,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.44 : 4,046.77 = 4,046.77 : x
  2. Step 2: Convert to fraction form
    2,609.44/4,046.77 = 4,046.77/x
  3. Step 3: Cross multiply
    2,609.44x = 4,046.77 × 4,046.77
  4. Step 4: Simplify right side
    2,609.44x = 16,376,312.02
  5. Step 5: Solve for x
    x = 16,376,312.02/2,609.44
  6. Step 6: Final answer
    x = 6,275.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.