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Finding the Third Proportional to 18,315.50 and 39,223

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Solution

The third proportional to 18,315.50 and 39,223 is: 83,996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,315.50 : 39,223 = 39,223 : x
  2. Step 2: Convert to fraction form
    18,315.50/39,223 = 39,223/x
  3. Step 3: Cross multiply
    18,315.50x = 39,223 × 39,223
  4. Step 4: Simplify right side
    18,315.50x = 1,538,443,729
  5. Step 5: Solve for x
    x = 1,538,443,729/18,315.50
  6. Step 6: Final answer
    x = 83,996.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.