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Finding the Third Proportional to 23,329 and 35,113.50

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Solution

The third proportional to 23,329 and 35,113.50 is: 52,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,329 : 35,113.50 = 35,113.50 : x
  2. Step 2: Convert to fraction form
    23,329/35,113.50 = 35,113.50/x
  3. Step 3: Cross multiply
    23,329x = 35,113.50 × 35,113.50
  4. Step 4: Simplify right side
    23,329x = 1,232,957,882.25
  5. Step 5: Solve for x
    x = 1,232,957,882.25/23,329
  6. Step 6: Final answer
    x = 52,850.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.