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Finding the Third Proportional to 8,876.25 and 19,497.38

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Solution

The third proportional to 8,876.25 and 19,497.38 is: 42,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,876.25 : 19,497.38 = 19,497.38 : x
  2. Step 2: Convert to fraction form
    8,876.25/19,497.38 = 19,497.38/x
  3. Step 3: Cross multiply
    8,876.25x = 19,497.38 × 19,497.38
  4. Step 4: Simplify right side
    8,876.25x = 380,147,631.89
  5. Step 5: Solve for x
    x = 380,147,631.89/8,876.25
  6. Step 6: Final answer
    x = 42,827.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.