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Finding the Third Proportional to 3,719.04 and 4,914.11

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Solution

The third proportional to 3,719.04 and 4,914.11 is: 6,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.04 : 4,914.11 = 4,914.11 : x
  2. Step 2: Convert to fraction form
    3,719.04/4,914.11 = 4,914.11/x
  3. Step 3: Cross multiply
    3,719.04x = 4,914.11 × 4,914.11
  4. Step 4: Simplify right side
    3,719.04x = 24,148,432.56
  5. Step 5: Solve for x
    x = 24,148,432.56/3,719.04
  6. Step 6: Final answer
    x = 6,493.19

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.