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Finding the Third Proportional to 1,373.25 and 2,029.69

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Solution

The third proportional to 1,373.25 and 2,029.69 is: 2,999.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.25 : 2,029.69 = 2,029.69 : x
  2. Step 2: Convert to fraction form
    1,373.25/2,029.69 = 2,029.69/x
  3. Step 3: Cross multiply
    1,373.25x = 2,029.69 × 2,029.69
  4. Step 4: Simplify right side
    1,373.25x = 4,119,631.35
  5. Step 5: Solve for x
    x = 4,119,631.35/1,373.25
  6. Step 6: Final answer
    x = 2,999.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.