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Finding the Third Proportional to 1,866.66 and 2,536.59

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Solution

The third proportional to 1,866.66 and 2,536.59 is: 3,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.66 : 2,536.59 = 2,536.59 : x
  2. Step 2: Convert to fraction form
    1,866.66/2,536.59 = 2,536.59/x
  3. Step 3: Cross multiply
    1,866.66x = 2,536.59 × 2,536.59
  4. Step 4: Simplify right side
    1,866.66x = 6,434,307.85
  5. Step 5: Solve for x
    x = 6,434,307.85/1,866.66
  6. Step 6: Final answer
    x = 3,446.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.