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Finding the Third Proportional to 6,348 and 10,562

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Solution

The third proportional to 6,348 and 10,562 is: 17,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348 : 10,562 = 10,562 : x
  2. Step 2: Convert to fraction form
    6,348/10,562 = 10,562/x
  3. Step 3: Cross multiply
    6,348x = 10,562 × 10,562
  4. Step 4: Simplify right side
    6,348x = 111,555,844
  5. Step 5: Solve for x
    x = 111,555,844/6,348
  6. Step 6: Final answer
    x = 17,573.38

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.