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Finding the Third Proportional to 3,034 and 6,478

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Solution

The third proportional to 3,034 and 6,478 is: 13,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034 : 6,478 = 6,478 : x
  2. Step 2: Convert to fraction form
    3,034/6,478 = 6,478/x
  3. Step 3: Cross multiply
    3,034x = 6,478 × 6,478
  4. Step 4: Simplify right side
    3,034x = 41,964,484
  5. Step 5: Solve for x
    x = 41,964,484/3,034
  6. Step 6: Final answer
    x = 13,831.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.