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Finding the Third Proportional to 27,718.50 and 52,885.50

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Solution

The third proportional to 27,718.50 and 52,885.50 is: 100,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718.50 : 52,885.50 = 52,885.50 : x
  2. Step 2: Convert to fraction form
    27,718.50/52,885.50 = 52,885.50/x
  3. Step 3: Cross multiply
    27,718.50x = 52,885.50 × 52,885.50
  4. Step 4: Simplify right side
    27,718.50x = 2,796,876,110.25
  5. Step 5: Solve for x
    x = 2,796,876,110.25/27,718.50
  6. Step 6: Final answer
    x = 100,902.87

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.