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Finding the Third Proportional to 8,260 and 12,871

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Solution

The third proportional to 8,260 and 12,871 is: 20,056.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260 : 12,871 = 12,871 : x
  2. Step 2: Convert to fraction form
    8,260/12,871 = 12,871/x
  3. Step 3: Cross multiply
    8,260x = 12,871 × 12,871
  4. Step 4: Simplify right side
    8,260x = 165,662,641
  5. Step 5: Solve for x
    x = 165,662,641/8,260
  6. Step 6: Final answer
    x = 20,056.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.