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Finding the Third Proportional to 19,864.50 and 41,362.50

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Solution

The third proportional to 19,864.50 and 41,362.50 is: 86,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864.50 : 41,362.50 = 41,362.50 : x
  2. Step 2: Convert to fraction form
    19,864.50/41,362.50 = 41,362.50/x
  3. Step 3: Cross multiply
    19,864.50x = 41,362.50 × 41,362.50
  4. Step 4: Simplify right side
    19,864.50x = 1,710,856,406.25
  5. Step 5: Solve for x
    x = 1,710,856,406.25/19,864.50
  6. Step 6: Final answer
    x = 86,126.33

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.