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Finding the Third Proportional to 15,086.25 and 23,019.19

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Solution

The third proportional to 15,086.25 and 23,019.19 is: 35,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.25 : 23,019.19 = 23,019.19 : x
  2. Step 2: Convert to fraction form
    15,086.25/23,019.19 = 23,019.19/x
  3. Step 3: Cross multiply
    15,086.25x = 23,019.19 × 23,019.19
  4. Step 4: Simplify right side
    15,086.25x = 529,882,993.16
  5. Step 5: Solve for x
    x = 529,882,993.16/15,086.25
  6. Step 6: Final answer
    x = 35,123.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.