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Finding the Third Proportional to 5,232 and 7,859

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Solution

The third proportional to 5,232 and 7,859 is: 11,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232 : 7,859 = 7,859 : x
  2. Step 2: Convert to fraction form
    5,232/7,859 = 7,859/x
  3. Step 3: Cross multiply
    5,232x = 7,859 × 7,859
  4. Step 4: Simplify right side
    5,232x = 61,763,881
  5. Step 5: Solve for x
    x = 61,763,881/5,232
  6. Step 6: Final answer
    x = 11,805.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.