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Finding the Third Proportional to 18,232.50 and 23,295.38

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Solution

The third proportional to 18,232.50 and 23,295.38 is: 29,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.50 : 23,295.38 = 23,295.38 : x
  2. Step 2: Convert to fraction form
    18,232.50/23,295.38 = 23,295.38/x
  3. Step 3: Cross multiply
    18,232.50x = 23,295.38 × 23,295.38
  4. Step 4: Simplify right side
    18,232.50x = 542,674,496.39
  5. Step 5: Solve for x
    x = 542,674,496.39/18,232.50
  6. Step 6: Final answer
    x = 29,764.13

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.