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Finding the Third Proportional to 2,631.66 and 4,064.77

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Solution

The third proportional to 2,631.66 and 4,064.77 is: 6,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.66 : 4,064.77 = 4,064.77 : x
  2. Step 2: Convert to fraction form
    2,631.66/4,064.77 = 4,064.77/x
  3. Step 3: Cross multiply
    2,631.66x = 4,064.77 × 4,064.77
  4. Step 4: Simplify right side
    2,631.66x = 16,522,319.59
  5. Step 5: Solve for x
    x = 16,522,319.59/2,631.66
  6. Step 6: Final answer
    x = 6,278.30

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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.