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Finding the Third Proportional to 1,590.75 and 2,323.13

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Solution

The third proportional to 1,590.75 and 2,323.13 is: 3,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.75 : 2,323.13 = 2,323.13 : x
  2. Step 2: Convert to fraction form
    1,590.75/2,323.13 = 2,323.13/x
  3. Step 3: Cross multiply
    1,590.75x = 2,323.13 × 2,323.13
  4. Step 4: Simplify right side
    1,590.75x = 5,396,909.77
  5. Step 5: Solve for x
    x = 5,396,909.77/1,590.75
  6. Step 6: Final answer
    x = 3,392.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.