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Finding the Third Proportional to 9,556.97 and 14,053.78

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Solution

The third proportional to 9,556.97 and 14,053.78 is: 20,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.97 : 14,053.78 = 14,053.78 : x
  2. Step 2: Convert to fraction form
    9,556.97/14,053.78 = 14,053.78/x
  3. Step 3: Cross multiply
    9,556.97x = 14,053.78 × 14,053.78
  4. Step 4: Simplify right side
    9,556.97x = 197,508,767.42
  5. Step 5: Solve for x
    x = 197,508,767.42/9,556.97
  6. Step 6: Final answer
    x = 20,666.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.