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Finding the Third Proportional to 2,948 and 6,434

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Solution

The third proportional to 2,948 and 6,434 is: 14,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948 : 6,434 = 6,434 : x
  2. Step 2: Convert to fraction form
    2,948/6,434 = 6,434/x
  3. Step 3: Cross multiply
    2,948x = 6,434 × 6,434
  4. Step 4: Simplify right side
    2,948x = 41,396,356
  5. Step 5: Solve for x
    x = 41,396,356/2,948
  6. Step 6: Final answer
    x = 14,042.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.