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Finding the Third Proportional to 27,353.25 and 42,853.50

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Solution

The third proportional to 27,353.25 and 42,853.50 is: 67,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,353.25 : 42,853.50 = 42,853.50 : x
  2. Step 2: Convert to fraction form
    27,353.25/42,853.50 = 42,853.50/x
  3. Step 3: Cross multiply
    27,353.25x = 42,853.50 × 42,853.50
  4. Step 4: Simplify right side
    27,353.25x = 1,836,422,462.25
  5. Step 5: Solve for x
    x = 1,836,422,462.25/27,353.25
  6. Step 6: Final answer
    x = 67,137.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.