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Finding the Third Proportional to 5,426 and 7,947

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Solution

The third proportional to 5,426 and 7,947 is: 11,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426 : 7,947 = 7,947 : x
  2. Step 2: Convert to fraction form
    5,426/7,947 = 7,947/x
  3. Step 3: Cross multiply
    5,426x = 7,947 × 7,947
  4. Step 4: Simplify right side
    5,426x = 63,154,809
  5. Step 5: Solve for x
    x = 63,154,809/5,426
  6. Step 6: Final answer
    x = 11,639.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.