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Finding the Third Proportional to 1,651.64 and 3,439.55

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Solution

The third proportional to 1,651.64 and 3,439.55 is: 7,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.64 : 3,439.55 = 3,439.55 : x
  2. Step 2: Convert to fraction form
    1,651.64/3,439.55 = 3,439.55/x
  3. Step 3: Cross multiply
    1,651.64x = 3,439.55 × 3,439.55
  4. Step 4: Simplify right side
    1,651.64x = 11,830,482.71
  5. Step 5: Solve for x
    x = 11,830,482.71/1,651.64
  6. Step 6: Final answer
    x = 7,162.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.