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Finding the Third Proportional to 18,284.25 and 39,342.75

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Solution

The third proportional to 18,284.25 and 39,342.75 is: 84,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.25 : 39,342.75 = 39,342.75 : x
  2. Step 2: Convert to fraction form
    18,284.25/39,342.75 = 39,342.75/x
  3. Step 3: Cross multiply
    18,284.25x = 39,342.75 × 39,342.75
  4. Step 4: Simplify right side
    18,284.25x = 1,547,851,977.56
  5. Step 5: Solve for x
    x = 1,547,851,977.56/18,284.25
  6. Step 6: Final answer
    x = 84,654.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.