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Finding the Third Proportional to 1,373.20 and 3,600.07

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Solution

The third proportional to 1,373.20 and 3,600.07 is: 9,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.20 : 3,600.07 = 3,600.07 : x
  2. Step 2: Convert to fraction form
    1,373.20/3,600.07 = 3,600.07/x
  3. Step 3: Cross multiply
    1,373.20x = 3,600.07 × 3,600.07
  4. Step 4: Simplify right side
    1,373.20x = 12,960,506.25
  5. Step 5: Solve for x
    x = 12,960,506.25/1,373.20
  6. Step 6: Final answer
    x = 9,438.16

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.