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Finding the Third Proportional to 47,476.13 and 72,469.69

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Solution

The third proportional to 47,476.13 and 72,469.69 is: 110,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,476.13 : 72,469.69 = 72,469.69 : x
  2. Step 2: Convert to fraction form
    47,476.13/72,469.69 = 72,469.69/x
  3. Step 3: Cross multiply
    47,476.13x = 72,469.69 × 72,469.69
  4. Step 4: Simplify right side
    47,476.13x = 5,251,855,606.35
  5. Step 5: Solve for x
    x = 5,251,855,606.35/47,476.13
  6. Step 6: Final answer
    x = 110,620.98

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.