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Finding the Third Proportional to 9,840 and 14,802

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Solution

The third proportional to 9,840 and 14,802 is: 22,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840 : 14,802 = 14,802 : x
  2. Step 2: Convert to fraction form
    9,840/14,802 = 14,802/x
  3. Step 3: Cross multiply
    9,840x = 14,802 × 14,802
  4. Step 4: Simplify right side
    9,840x = 219,099,204
  5. Step 5: Solve for x
    x = 219,099,204/9,840
  6. Step 6: Final answer
    x = 22,266.18

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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.