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Finding the Third Proportional to 6,297 and 9,884

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Solution

The third proportional to 6,297 and 9,884 is: 15,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297 : 9,884 = 9,884 : x
  2. Step 2: Convert to fraction form
    6,297/9,884 = 9,884/x
  3. Step 3: Cross multiply
    6,297x = 9,884 × 9,884
  4. Step 4: Simplify right side
    6,297x = 97,693,456
  5. Step 5: Solve for x
    x = 97,693,456/6,297
  6. Step 6: Final answer
    x = 15,514.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.