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Finding the Third Proportional to 23,019.19 and 34,642.69

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Solution

The third proportional to 23,019.19 and 34,642.69 is: 52,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.19 : 34,642.69 = 34,642.69 : x
  2. Step 2: Convert to fraction form
    23,019.19/34,642.69 = 34,642.69/x
  3. Step 3: Cross multiply
    23,019.19x = 34,642.69 × 34,642.69
  4. Step 4: Simplify right side
    23,019.19x = 1,200,115,797.22
  5. Step 5: Solve for x
    x = 1,200,115,797.22/23,019.19
  6. Step 6: Final answer
    x = 52,135.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.