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Finding the Third Proportional to 23,384.50 and 34,247.50

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Solution

The third proportional to 23,384.50 and 34,247.50 is: 50,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.50 : 34,247.50 = 34,247.50 : x
  2. Step 2: Convert to fraction form
    23,384.50/34,247.50 = 34,247.50/x
  3. Step 3: Cross multiply
    23,384.50x = 34,247.50 × 34,247.50
  4. Step 4: Simplify right side
    23,384.50x = 1,172,891,256.25
  5. Step 5: Solve for x
    x = 1,172,891,256.25/23,384.50
  6. Step 6: Final answer
    x = 50,156.78

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