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Finding the Third Proportional to 947 and 2,426

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Solution

The third proportional to 947 and 2,426 is: 6,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    947 : 2,426 = 2,426 : x
  2. Step 2: Convert to fraction form
    947/2,426 = 2,426/x
  3. Step 3: Cross multiply
    947x = 2,426 × 2,426
  4. Step 4: Simplify right side
    947x = 5,885,476
  5. Step 5: Solve for x
    x = 5,885,476/947
  6. Step 6: Final answer
    x = 6,214.86

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.