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Finding the Third Proportional to 1,959.19 and 2,242.69

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Solution

The third proportional to 1,959.19 and 2,242.69 is: 2,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.19 : 2,242.69 = 2,242.69 : x
  2. Step 2: Convert to fraction form
    1,959.19/2,242.69 = 2,242.69/x
  3. Step 3: Cross multiply
    1,959.19x = 2,242.69 × 2,242.69
  4. Step 4: Simplify right side
    1,959.19x = 5,029,647.22
  5. Step 5: Solve for x
    x = 5,029,647.22/1,959.19
  6. Step 6: Final answer
    x = 2,567.21

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.