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Finding the Third Proportional to 3,411.75 and 7,407.75

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Solution

The third proportional to 3,411.75 and 7,407.75 is: 16,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.75 : 7,407.75 = 7,407.75 : x
  2. Step 2: Convert to fraction form
    3,411.75/7,407.75 = 7,407.75/x
  3. Step 3: Cross multiply
    3,411.75x = 7,407.75 × 7,407.75
  4. Step 4: Simplify right side
    3,411.75x = 54,874,760.06
  5. Step 5: Solve for x
    x = 54,874,760.06/3,411.75
  6. Step 6: Final answer
    x = 16,084.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.