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Finding the Third Proportional to 19,343.25 and 26,097.75

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Solution

The third proportional to 19,343.25 and 26,097.75 is: 35,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343.25 : 26,097.75 = 26,097.75 : x
  2. Step 2: Convert to fraction form
    19,343.25/26,097.75 = 26,097.75/x
  3. Step 3: Cross multiply
    19,343.25x = 26,097.75 × 26,097.75
  4. Step 4: Simplify right side
    19,343.25x = 681,092,555.06
  5. Step 5: Solve for x
    x = 681,092,555.06/19,343.25
  6. Step 6: Final answer
    x = 35,210.86

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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.