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Finding the Third Proportional to 8,051 and 19,637

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Solution

The third proportional to 8,051 and 19,637 is: 47,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 19,637 = 19,637 : x
  2. Step 2: Convert to fraction form
    8,051/19,637 = 19,637/x
  3. Step 3: Cross multiply
    8,051x = 19,637 × 19,637
  4. Step 4: Simplify right side
    8,051x = 385,611,769
  5. Step 5: Solve for x
    x = 385,611,769/8,051
  6. Step 6: Final answer
    x = 47,896.13

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.