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Finding the Third Proportional to 1,260.38 and 1,924.69

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Solution

The third proportional to 1,260.38 and 1,924.69 is: 2,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.38 : 1,924.69 = 1,924.69 : x
  2. Step 2: Convert to fraction form
    1,260.38/1,924.69 = 1,924.69/x
  3. Step 3: Cross multiply
    1,260.38x = 1,924.69 × 1,924.69
  4. Step 4: Simplify right side
    1,260.38x = 3,704,421.97
  5. Step 5: Solve for x
    x = 3,704,421.97/1,260.38
  6. Step 6: Final answer
    x = 2,939.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.