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Finding the Third Proportional to 18,145 and 38,750.50

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Solution

The third proportional to 18,145 and 38,750.50 is: 82,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,145 : 38,750.50 = 38,750.50 : x
  2. Step 2: Convert to fraction form
    18,145/38,750.50 = 38,750.50/x
  3. Step 3: Cross multiply
    18,145x = 38,750.50 × 38,750.50
  4. Step 4: Simplify right side
    18,145x = 1,501,601,250.25
  5. Step 5: Solve for x
    x = 1,501,601,250.25/18,145
  6. Step 6: Final answer
    x = 82,755.65

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Why These Related Problems?

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