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Finding the Third Proportional to 8,029 and 10,657

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Solution

The third proportional to 8,029 and 10,657 is: 14,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029 : 10,657 = 10,657 : x
  2. Step 2: Convert to fraction form
    8,029/10,657 = 10,657/x
  3. Step 3: Cross multiply
    8,029x = 10,657 × 10,657
  4. Step 4: Simplify right side
    8,029x = 113,571,649
  5. Step 5: Solve for x
    x = 113,571,649/8,029
  6. Step 6: Final answer
    x = 14,145.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.