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Finding the Third Proportional to 5,420 and 8,648

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Solution

The third proportional to 5,420 and 8,648 is: 13,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420 : 8,648 = 8,648 : x
  2. Step 2: Convert to fraction form
    5,420/8,648 = 8,648/x
  3. Step 3: Cross multiply
    5,420x = 8,648 × 8,648
  4. Step 4: Simplify right side
    5,420x = 74,787,904
  5. Step 5: Solve for x
    x = 74,787,904/5,420
  6. Step 6: Final answer
    x = 13,798.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.