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Finding the Third Proportional to 17,263.13 and 18,402.19

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Solution

The third proportional to 17,263.13 and 18,402.19 is: 19,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263.13 : 18,402.19 = 18,402.19 : x
  2. Step 2: Convert to fraction form
    17,263.13/18,402.19 = 18,402.19/x
  3. Step 3: Cross multiply
    17,263.13x = 18,402.19 × 18,402.19
  4. Step 4: Simplify right side
    17,263.13x = 338,640,504.79
  5. Step 5: Solve for x
    x = 338,640,504.79/17,263.13
  6. Step 6: Final answer
    x = 19,616.41

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.