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Finding the Third Proportional to 19,886.50 and 42,886.75

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Solution

The third proportional to 19,886.50 and 42,886.75 is: 92,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.50 : 42,886.75 = 42,886.75 : x
  2. Step 2: Convert to fraction form
    19,886.50/42,886.75 = 42,886.75/x
  3. Step 3: Cross multiply
    19,886.50x = 42,886.75 × 42,886.75
  4. Step 4: Simplify right side
    19,886.50x = 1,839,273,325.56
  5. Step 5: Solve for x
    x = 1,839,273,325.56/19,886.50
  6. Step 6: Final answer
    x = 92,488.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.