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Finding the Third Proportional to 17,926.75 and 39,427.75

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Solution

The third proportional to 17,926.75 and 39,427.75 is: 86,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926.75 : 39,427.75 = 39,427.75 : x
  2. Step 2: Convert to fraction form
    17,926.75/39,427.75 = 39,427.75/x
  3. Step 3: Cross multiply
    17,926.75x = 39,427.75 × 39,427.75
  4. Step 4: Simplify right side
    17,926.75x = 1,554,547,470.06
  5. Step 5: Solve for x
    x = 1,554,547,470.06/17,926.75
  6. Step 6: Final answer
    x = 86,716.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.