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Finding the Third Proportional to 15,246 and 20,227.75

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Solution

The third proportional to 15,246 and 20,227.75 is: 26,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246 : 20,227.75 = 20,227.75 : x
  2. Step 2: Convert to fraction form
    15,246/20,227.75 = 20,227.75/x
  3. Step 3: Cross multiply
    15,246x = 20,227.75 × 20,227.75
  4. Step 4: Simplify right side
    15,246x = 409,161,870.06
  5. Step 5: Solve for x
    x = 409,161,870.06/15,246
  6. Step 6: Final answer
    x = 26,837.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.