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Finding the Third Proportional to 3,678.75 and 7,170.19

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Solution

The third proportional to 3,678.75 and 7,170.19 is: 13,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.75 : 7,170.19 = 7,170.19 : x
  2. Step 2: Convert to fraction form
    3,678.75/7,170.19 = 7,170.19/x
  3. Step 3: Cross multiply
    3,678.75x = 7,170.19 × 7,170.19
  4. Step 4: Simplify right side
    3,678.75x = 51,411,588.79
  5. Step 5: Solve for x
    x = 51,411,588.79/3,678.75
  6. Step 6: Final answer
    x = 13,975.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.