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Finding the Third Proportional to 5,468 and 7,970

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Solution

The third proportional to 5,468 and 7,970 is: 11,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468 : 7,970 = 7,970 : x
  2. Step 2: Convert to fraction form
    5,468/7,970 = 7,970/x
  3. Step 3: Cross multiply
    5,468x = 7,970 × 7,970
  4. Step 4: Simplify right side
    5,468x = 63,520,900
  5. Step 5: Solve for x
    x = 63,520,900/5,468
  6. Step 6: Final answer
    x = 11,616.84

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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.