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Finding the Third Proportional to 20,886.50 and 49,288

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Solution

The third proportional to 20,886.50 and 49,288 is: 116,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.50 : 49,288 = 49,288 : x
  2. Step 2: Convert to fraction form
    20,886.50/49,288 = 49,288/x
  3. Step 3: Cross multiply
    20,886.50x = 49,288 × 49,288
  4. Step 4: Simplify right side
    20,886.50x = 2,429,306,944
  5. Step 5: Solve for x
    x = 2,429,306,944/20,886.50
  6. Step 6: Final answer
    x = 116,309.91

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.