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Finding the Third Proportional to 18,558 and 38,938.50

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Solution

The third proportional to 18,558 and 38,938.50 is: 81,700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,558 : 38,938.50 = 38,938.50 : x
  2. Step 2: Convert to fraction form
    18,558/38,938.50 = 38,938.50/x
  3. Step 3: Cross multiply
    18,558x = 38,938.50 × 38,938.50
  4. Step 4: Simplify right side
    18,558x = 1,516,206,782.25
  5. Step 5: Solve for x
    x = 1,516,206,782.25/18,558
  6. Step 6: Final answer
    x = 81,700.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.