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Finding the Third Proportional to 11,251 and 26,047

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Solution

The third proportional to 11,251 and 26,047 is: 60,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251 : 26,047 = 26,047 : x
  2. Step 2: Convert to fraction form
    11,251/26,047 = 26,047/x
  3. Step 3: Cross multiply
    11,251x = 26,047 × 26,047
  4. Step 4: Simplify right side
    11,251x = 678,446,209
  5. Step 5: Solve for x
    x = 678,446,209/11,251
  6. Step 6: Final answer
    x = 60,300.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.