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Finding the Third Proportional to 39,818.25 and 87,284.25

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Solution

The third proportional to 39,818.25 and 87,284.25 is: 191,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,818.25 : 87,284.25 = 87,284.25 : x
  2. Step 2: Convert to fraction form
    39,818.25/87,284.25 = 87,284.25/x
  3. Step 3: Cross multiply
    39,818.25x = 87,284.25 × 87,284.25
  4. Step 4: Simplify right side
    39,818.25x = 7,618,540,298.06
  5. Step 5: Solve for x
    x = 7,618,540,298.06/39,818.25
  6. Step 6: Final answer
    x = 191,332.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.