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Finding the Third Proportional to 9,799 and 14,721

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Solution

The third proportional to 9,799 and 14,721 is: 22,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799 : 14,721 = 14,721 : x
  2. Step 2: Convert to fraction form
    9,799/14,721 = 14,721/x
  3. Step 3: Cross multiply
    9,799x = 14,721 × 14,721
  4. Step 4: Simplify right side
    9,799x = 216,707,841
  5. Step 5: Solve for x
    x = 216,707,841/9,799
  6. Step 6: Final answer
    x = 22,115.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.