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Finding the Third Proportional to 1,106.31 and 1,712.87

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Solution

The third proportional to 1,106.31 and 1,712.87 is: 2,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.31 : 1,712.87 = 1,712.87 : x
  2. Step 2: Convert to fraction form
    1,106.31/1,712.87 = 1,712.87/x
  3. Step 3: Cross multiply
    1,106.31x = 1,712.87 × 1,712.87
  4. Step 4: Simplify right side
    1,106.31x = 2,933,907.31
  5. Step 5: Solve for x
    x = 2,933,907.31/1,106.31
  6. Step 6: Final answer
    x = 2,651.97

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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.