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Finding the Third Proportional to 23,419.50 and 34,252.75

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Solution

The third proportional to 23,419.50 and 34,252.75 is: 50,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,419.50 : 34,252.75 = 34,252.75 : x
  2. Step 2: Convert to fraction form
    23,419.50/34,252.75 = 34,252.75/x
  3. Step 3: Cross multiply
    23,419.50x = 34,252.75 × 34,252.75
  4. Step 4: Simplify right side
    23,419.50x = 1,173,250,882.56
  5. Step 5: Solve for x
    x = 1,173,250,882.56/23,419.50
  6. Step 6: Final answer
    x = 50,097.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.