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Finding the Third Proportional to 5,971 and 7,078

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Solution

The third proportional to 5,971 and 7,078 is: 8,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971 : 7,078 = 7,078 : x
  2. Step 2: Convert to fraction form
    5,971/7,078 = 7,078/x
  3. Step 3: Cross multiply
    5,971x = 7,078 × 7,078
  4. Step 4: Simplify right side
    5,971x = 50,098,084
  5. Step 5: Solve for x
    x = 50,098,084/5,971
  6. Step 6: Final answer
    x = 8,390.23

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.