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Finding the Third Proportional to 8,051 and 14,143

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Solution

The third proportional to 8,051 and 14,143 is: 24,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 14,143 = 14,143 : x
  2. Step 2: Convert to fraction form
    8,051/14,143 = 14,143/x
  3. Step 3: Cross multiply
    8,051x = 14,143 × 14,143
  4. Step 4: Simplify right side
    8,051x = 200,024,449
  5. Step 5: Solve for x
    x = 200,024,449/8,051
  6. Step 6: Final answer
    x = 24,844.67

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.