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Finding the Third Proportional to 19,804.50 and 40,864.50

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Solution

The third proportional to 19,804.50 and 40,864.50 is: 84,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.50 : 40,864.50 = 40,864.50 : x
  2. Step 2: Convert to fraction form
    19,804.50/40,864.50 = 40,864.50/x
  3. Step 3: Cross multiply
    19,804.50x = 40,864.50 × 40,864.50
  4. Step 4: Simplify right side
    19,804.50x = 1,669,907,360.25
  5. Step 5: Solve for x
    x = 1,669,907,360.25/19,804.50
  6. Step 6: Final answer
    x = 84,319.59

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.