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Finding the Third Proportional to 9,801 and 14,723.63

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Solution

The third proportional to 9,801 and 14,723.63 is: 22,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801 : 14,723.63 = 14,723.63 : x
  2. Step 2: Convert to fraction form
    9,801/14,723.63 = 14,723.63/x
  3. Step 3: Cross multiply
    9,801x = 14,723.63 × 14,723.63
  4. Step 4: Simplify right side
    9,801x = 216,785,133.14
  5. Step 5: Solve for x
    x = 216,785,133.14/9,801
  6. Step 6: Final answer
    x = 22,118.67

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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.