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Finding the Third Proportional to 27,069.75 and 36,877.50

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Solution

The third proportional to 27,069.75 and 36,877.50 is: 50,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,069.75 : 36,877.50 = 36,877.50 : x
  2. Step 2: Convert to fraction form
    27,069.75/36,877.50 = 36,877.50/x
  3. Step 3: Cross multiply
    27,069.75x = 36,877.50 × 36,877.50
  4. Step 4: Simplify right side
    27,069.75x = 1,359,950,006.25
  5. Step 5: Solve for x
    x = 1,359,950,006.25/27,069.75
  6. Step 6: Final answer
    x = 50,238.74

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.