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Finding the Third Proportional to 47,253 and 63,049.50

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Solution

The third proportional to 47,253 and 63,049.50 is: 84,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,253 : 63,049.50 = 63,049.50 : x
  2. Step 2: Convert to fraction form
    47,253/63,049.50 = 63,049.50/x
  3. Step 3: Cross multiply
    47,253x = 63,049.50 × 63,049.50
  4. Step 4: Simplify right side
    47,253x = 3,975,239,450.25
  5. Step 5: Solve for x
    x = 3,975,239,450.25/47,253
  6. Step 6: Final answer
    x = 84,126.71

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.