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Finding the Third Proportional to 9,799 and 15,211

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Solution

The third proportional to 9,799 and 15,211 is: 23,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799 : 15,211 = 15,211 : x
  2. Step 2: Convert to fraction form
    9,799/15,211 = 15,211/x
  3. Step 3: Cross multiply
    9,799x = 15,211 × 15,211
  4. Step 4: Simplify right side
    9,799x = 231,374,521
  5. Step 5: Solve for x
    x = 231,374,521/9,799
  6. Step 6: Final answer
    x = 23,612.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.