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Finding the Third Proportional to 1,920.48 and 2,594.71

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Solution

The third proportional to 1,920.48 and 2,594.71 is: 3,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.48 : 2,594.71 = 2,594.71 : x
  2. Step 2: Convert to fraction form
    1,920.48/2,594.71 = 2,594.71/x
  3. Step 3: Cross multiply
    1,920.48x = 2,594.71 × 2,594.71
  4. Step 4: Simplify right side
    1,920.48x = 6,732,504.58
  5. Step 5: Solve for x
    x = 6,732,504.58/1,920.48
  6. Step 6: Final answer
    x = 3,505.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.