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Finding the Third Proportional to 15,226 and 23,891

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Solution

The third proportional to 15,226 and 23,891 is: 37,487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226 : 23,891 = 23,891 : x
  2. Step 2: Convert to fraction form
    15,226/23,891 = 23,891/x
  3. Step 3: Cross multiply
    15,226x = 23,891 × 23,891
  4. Step 4: Simplify right side
    15,226x = 570,779,881
  5. Step 5: Solve for x
    x = 570,779,881/15,226
  6. Step 6: Final answer
    x = 37,487.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.