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Finding the Third Proportional to 19,768 and 47,251

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Solution

The third proportional to 19,768 and 47,251 is: 112,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768 : 47,251 = 47,251 : x
  2. Step 2: Convert to fraction form
    19,768/47,251 = 47,251/x
  3. Step 3: Cross multiply
    19,768x = 47,251 × 47,251
  4. Step 4: Simplify right side
    19,768x = 2,232,657,001
  5. Step 5: Solve for x
    x = 2,232,657,001/19,768
  6. Step 6: Final answer
    x = 112,942.99

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.