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Finding the Third Proportional to 9,801.84 and 14,793.89

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Solution

The third proportional to 9,801.84 and 14,793.89 is: 22,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.84 : 14,793.89 = 14,793.89 : x
  2. Step 2: Convert to fraction form
    9,801.84/14,793.89 = 14,793.89/x
  3. Step 3: Cross multiply
    9,801.84x = 14,793.89 × 14,793.89
  4. Step 4: Simplify right side
    9,801.84x = 218,859,199.82
  5. Step 5: Solve for x
    x = 218,859,199.82/9,801.84
  6. Step 6: Final answer
    x = 22,328.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.