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Finding the Third Proportional to 2,301.75 and 3,363.19

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Solution

The third proportional to 2,301.75 and 3,363.19 is: 4,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.75 : 3,363.19 = 3,363.19 : x
  2. Step 2: Convert to fraction form
    2,301.75/3,363.19 = 3,363.19/x
  3. Step 3: Cross multiply
    2,301.75x = 3,363.19 × 3,363.19
  4. Step 4: Simplify right side
    2,301.75x = 11,311,030.16
  5. Step 5: Solve for x
    x = 11,311,030.16/2,301.75
  6. Step 6: Final answer
    x = 4,914.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.