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Finding the Third Proportional to 8,051 and 17,557

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Solution

The third proportional to 8,051 and 17,557 is: 38,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 17,557 = 17,557 : x
  2. Step 2: Convert to fraction form
    8,051/17,557 = 17,557/x
  3. Step 3: Cross multiply
    8,051x = 17,557 × 17,557
  4. Step 4: Simplify right side
    8,051x = 308,248,249
  5. Step 5: Solve for x
    x = 308,248,249/8,051
  6. Step 6: Final answer
    x = 38,286.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.