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Finding the Third Proportional to 1,043.13 and 1,562.13

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Solution

The third proportional to 1,043.13 and 1,562.13 is: 2,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.13 : 1,562.13 = 1,562.13 : x
  2. Step 2: Convert to fraction form
    1,043.13/1,562.13 = 1,562.13/x
  3. Step 3: Cross multiply
    1,043.13x = 1,562.13 × 1,562.13
  4. Step 4: Simplify right side
    1,043.13x = 2,440,234.52
  5. Step 5: Solve for x
    x = 2,440,234.52/1,043.13
  6. Step 6: Final answer
    x = 2,339.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.