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Finding the Third Proportional to 1,063.97 and 1,432.27

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Solution

The third proportional to 1,063.97 and 1,432.27 is: 1,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.97 : 1,432.27 = 1,432.27 : x
  2. Step 2: Convert to fraction form
    1,063.97/1,432.27 = 1,432.27/x
  3. Step 3: Cross multiply
    1,063.97x = 1,432.27 × 1,432.27
  4. Step 4: Simplify right side
    1,063.97x = 2,051,384.82
  5. Step 5: Solve for x
    x = 2,051,384.82/1,063.97
  6. Step 6: Final answer
    x = 1,928.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.