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Finding the Third Proportional to 11,089 and 26,162.50

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Solution

The third proportional to 11,089 and 26,162.50 is: 61,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089 : 26,162.50 = 26,162.50 : x
  2. Step 2: Convert to fraction form
    11,089/26,162.50 = 26,162.50/x
  3. Step 3: Cross multiply
    11,089x = 26,162.50 × 26,162.50
  4. Step 4: Simplify right side
    11,089x = 684,476,406.25
  5. Step 5: Solve for x
    x = 684,476,406.25/11,089
  6. Step 6: Final answer
    x = 61,725.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.