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Finding the Third Proportional to 15,923.25 and 34,906.50

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Solution

The third proportional to 15,923.25 and 34,906.50 is: 76,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.25 : 34,906.50 = 34,906.50 : x
  2. Step 2: Convert to fraction form
    15,923.25/34,906.50 = 34,906.50/x
  3. Step 3: Cross multiply
    15,923.25x = 34,906.50 × 34,906.50
  4. Step 4: Simplify right side
    15,923.25x = 1,218,463,742.25
  5. Step 5: Solve for x
    x = 1,218,463,742.25/15,923.25
  6. Step 6: Final answer
    x = 76,521.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.