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Finding the Third Proportional to 6,294 and 8,129

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Solution

The third proportional to 6,294 and 8,129 is: 10,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294 : 8,129 = 8,129 : x
  2. Step 2: Convert to fraction form
    6,294/8,129 = 8,129/x
  3. Step 3: Cross multiply
    6,294x = 8,129 × 8,129
  4. Step 4: Simplify right side
    6,294x = 66,080,641
  5. Step 5: Solve for x
    x = 66,080,641/6,294
  6. Step 6: Final answer
    x = 10,498.99

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.