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Finding the Third Proportional to 5,212 and 7,972

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Solution

The third proportional to 5,212 and 7,972 is: 12,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212 : 7,972 = 7,972 : x
  2. Step 2: Convert to fraction form
    5,212/7,972 = 7,972/x
  3. Step 3: Cross multiply
    5,212x = 7,972 × 7,972
  4. Step 4: Simplify right side
    5,212x = 63,552,784
  5. Step 5: Solve for x
    x = 63,552,784/5,212
  6. Step 6: Final answer
    x = 12,193.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.