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Finding the Third Proportional to 23,909.50 and 35,135

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Solution

The third proportional to 23,909.50 and 35,135 is: 51,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,909.50 : 35,135 = 35,135 : x
  2. Step 2: Convert to fraction form
    23,909.50/35,135 = 35,135/x
  3. Step 3: Cross multiply
    23,909.50x = 35,135 × 35,135
  4. Step 4: Simplify right side
    23,909.50x = 1,234,468,225
  5. Step 5: Solve for x
    x = 1,234,468,225/23,909.50
  6. Step 6: Final answer
    x = 51,630.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.