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Finding the Third Proportional to 6,533 and 9,859

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Solution

The third proportional to 6,533 and 9,859 is: 14,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533 : 9,859 = 9,859 : x
  2. Step 2: Convert to fraction form
    6,533/9,859 = 9,859/x
  3. Step 3: Cross multiply
    6,533x = 9,859 × 9,859
  4. Step 4: Simplify right side
    6,533x = 97,199,881
  5. Step 5: Solve for x
    x = 97,199,881/6,533
  6. Step 6: Final answer
    x = 14,878.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.