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Finding the Third Proportional to 23,530.50 and 55,188

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Solution

The third proportional to 23,530.50 and 55,188 is: 129,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.50 : 55,188 = 55,188 : x
  2. Step 2: Convert to fraction form
    23,530.50/55,188 = 55,188/x
  3. Step 3: Cross multiply
    23,530.50x = 55,188 × 55,188
  4. Step 4: Simplify right side
    23,530.50x = 3,045,715,344
  5. Step 5: Solve for x
    x = 3,045,715,344/23,530.50
  6. Step 6: Final answer
    x = 129,436.92

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.