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Finding the Third Proportional to 3,170.39 and 6,927.40

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Solution

The third proportional to 3,170.39 and 6,927.40 is: 15,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.39 : 6,927.40 = 6,927.40 : x
  2. Step 2: Convert to fraction form
    3,170.39/6,927.40 = 6,927.40/x
  3. Step 3: Cross multiply
    3,170.39x = 6,927.40 × 6,927.40
  4. Step 4: Simplify right side
    3,170.39x = 47,988,849.11
  5. Step 5: Solve for x
    x = 47,988,849.11/3,170.39
  6. Step 6: Final answer
    x = 15,136.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.