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Finding the Third Proportional to 19,684.69 and 26,519.91

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Solution

The third proportional to 19,684.69 and 26,519.91 is: 35,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.69 : 26,519.91 = 26,519.91 : x
  2. Step 2: Convert to fraction form
    19,684.69/26,519.91 = 26,519.91/x
  3. Step 3: Cross multiply
    19,684.69x = 26,519.91 × 26,519.91
  4. Step 4: Simplify right side
    19,684.69x = 703,305,427.51
  5. Step 5: Solve for x
    x = 703,305,427.51/19,684.69
  6. Step 6: Final answer
    x = 35,728.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.