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Finding the Third Proportional to 8,056 and 12,653

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Solution

The third proportional to 8,056 and 12,653 is: 19,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056 : 12,653 = 12,653 : x
  2. Step 2: Convert to fraction form
    8,056/12,653 = 12,653/x
  3. Step 3: Cross multiply
    8,056x = 12,653 × 12,653
  4. Step 4: Simplify right side
    8,056x = 160,098,409
  5. Step 5: Solve for x
    x = 160,098,409/8,056
  6. Step 6: Final answer
    x = 19,873.19

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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.