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Finding the Third Proportional to 3,003.13 and 4,492.69

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Solution

The third proportional to 3,003.13 and 4,492.69 is: 6,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.13 : 4,492.69 = 4,492.69 : x
  2. Step 2: Convert to fraction form
    3,003.13/4,492.69 = 4,492.69/x
  3. Step 3: Cross multiply
    3,003.13x = 4,492.69 × 4,492.69
  4. Step 4: Simplify right side
    3,003.13x = 20,184,240.97
  5. Step 5: Solve for x
    x = 20,184,240.97/3,003.13
  6. Step 6: Final answer
    x = 6,721.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.