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Finding the Third Proportional to 11,117.25 and 23,895

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Solution

The third proportional to 11,117.25 and 23,895 is: 51,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.25 : 23,895 = 23,895 : x
  2. Step 2: Convert to fraction form
    11,117.25/23,895 = 23,895/x
  3. Step 3: Cross multiply
    11,117.25x = 23,895 × 23,895
  4. Step 4: Simplify right side
    11,117.25x = 570,971,025
  5. Step 5: Solve for x
    x = 570,971,025/11,117.25
  6. Step 6: Final answer
    x = 51,359.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.