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Finding the Third Proportional to 9,778 and 14,655

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Solution

The third proportional to 9,778 and 14,655 is: 21,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778 : 14,655 = 14,655 : x
  2. Step 2: Convert to fraction form
    9,778/14,655 = 14,655/x
  3. Step 3: Cross multiply
    9,778x = 14,655 × 14,655
  4. Step 4: Simplify right side
    9,778x = 214,769,025
  5. Step 5: Solve for x
    x = 214,769,025/9,778
  6. Step 6: Final answer
    x = 21,964.51

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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.