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Finding the Third Proportional to 9,747.84 and 14,556.80

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Solution

The third proportional to 9,747.84 and 14,556.80 is: 21,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.84 : 14,556.80 = 14,556.80 : x
  2. Step 2: Convert to fraction form
    9,747.84/14,556.80 = 14,556.80/x
  3. Step 3: Cross multiply
    9,747.84x = 14,556.80 × 14,556.80
  4. Step 4: Simplify right side
    9,747.84x = 211,900,335.26
  5. Step 5: Solve for x
    x = 211,900,335.26/9,747.84
  6. Step 6: Final answer
    x = 21,738.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.