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Finding the Third Proportional to 15,197 and 22,999

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Solution

The third proportional to 15,197 and 22,999 is: 34,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197 : 22,999 = 22,999 : x
  2. Step 2: Convert to fraction form
    15,197/22,999 = 22,999/x
  3. Step 3: Cross multiply
    15,197x = 22,999 × 22,999
  4. Step 4: Simplify right side
    15,197x = 528,954,001
  5. Step 5: Solve for x
    x = 528,954,001/15,197
  6. Step 6: Final answer
    x = 34,806.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.