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Finding the Third Proportional to 1,293.19 and 1,756.97

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Solution

The third proportional to 1,293.19 and 1,756.97 is: 2,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.19 : 1,756.97 = 1,756.97 : x
  2. Step 2: Convert to fraction form
    1,293.19/1,756.97 = 1,756.97/x
  3. Step 3: Cross multiply
    1,293.19x = 1,756.97 × 1,756.97
  4. Step 4: Simplify right side
    1,293.19x = 3,086,939.19
  5. Step 5: Solve for x
    x = 3,086,939.19/1,293.19
  6. Step 6: Final answer
    x = 2,387.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.