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Finding the Third Proportional to 1,032.75 and 2,259.14

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Solution

The third proportional to 1,032.75 and 2,259.14 is: 4,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.75 : 2,259.14 = 2,259.14 : x
  2. Step 2: Convert to fraction form
    1,032.75/2,259.14 = 2,259.14/x
  3. Step 3: Cross multiply
    1,032.75x = 2,259.14 × 2,259.14
  4. Step 4: Simplify right side
    1,032.75x = 5,103,716.36
  5. Step 5: Solve for x
    x = 5,103,716.36/1,032.75
  6. Step 6: Final answer
    x = 4,941.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.