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Finding the Third Proportional to 1,073.25 and 2,291.63

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Solution

The third proportional to 1,073.25 and 2,291.63 is: 4,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.25 : 2,291.63 = 2,291.63 : x
  2. Step 2: Convert to fraction form
    1,073.25/2,291.63 = 2,291.63/x
  3. Step 3: Cross multiply
    1,073.25x = 2,291.63 × 2,291.63
  4. Step 4: Simplify right side
    1,073.25x = 5,251,545.14
  5. Step 5: Solve for x
    x = 5,251,545.14/1,073.25
  6. Step 6: Final answer
    x = 4,893.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.