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Finding the Third Proportional to 3,034.13 and 7,035.19

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Solution

The third proportional to 3,034.13 and 7,035.19 is: 16,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.13 : 7,035.19 = 7,035.19 : x
  2. Step 2: Convert to fraction form
    3,034.13/7,035.19 = 7,035.19/x
  3. Step 3: Cross multiply
    3,034.13x = 7,035.19 × 7,035.19
  4. Step 4: Simplify right side
    3,034.13x = 49,493,863.16
  5. Step 5: Solve for x
    x = 49,493,863.16/3,034.13
  6. Step 6: Final answer
    x = 16,312.40

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.