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Finding the Third Proportional to 17,101.13 and 18,923.63

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Solution

The third proportional to 17,101.13 and 18,923.63 is: 20,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,101.13 : 18,923.63 = 18,923.63 : x
  2. Step 2: Convert to fraction form
    17,101.13/18,923.63 = 18,923.63/x
  3. Step 3: Cross multiply
    17,101.13x = 18,923.63 × 18,923.63
  4. Step 4: Simplify right side
    17,101.13x = 358,103,583.14
  5. Step 5: Solve for x
    x = 358,103,583.14/17,101.13
  6. Step 6: Final answer
    x = 20,940.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.