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Finding the Third Proportional to 1,063.69 and 1,412.72

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Solution

The third proportional to 1,063.69 and 1,412.72 is: 1,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.69 : 1,412.72 = 1,412.72 : x
  2. Step 2: Convert to fraction form
    1,063.69/1,412.72 = 1,412.72/x
  3. Step 3: Cross multiply
    1,063.69x = 1,412.72 × 1,412.72
  4. Step 4: Simplify right side
    1,063.69x = 1,995,774.27
  5. Step 5: Solve for x
    x = 1,995,774.27/1,063.69
  6. Step 6: Final answer
    x = 1,876.28

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.