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Finding the Third Proportional to 36,225 and 53,253.50

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Solution

The third proportional to 36,225 and 53,253.50 is: 78,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,225 : 53,253.50 = 53,253.50 : x
  2. Step 2: Convert to fraction form
    36,225/53,253.50 = 53,253.50/x
  3. Step 3: Cross multiply
    36,225x = 53,253.50 × 53,253.50
  4. Step 4: Simplify right side
    36,225x = 2,835,935,262.25
  5. Step 5: Solve for x
    x = 2,835,935,262.25/36,225
  6. Step 6: Final answer
    x = 78,286.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.