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Finding the Third Proportional to 49,221 and 73,815.47

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Solution

The third proportional to 49,221 and 73,815.47 is: 110,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,221 : 73,815.47 = 73,815.47 : x
  2. Step 2: Convert to fraction form
    49,221/73,815.47 = 73,815.47/x
  3. Step 3: Cross multiply
    49,221x = 73,815.47 × 73,815.47
  4. Step 4: Simplify right side
    49,221x = 5,448,723,426.78
  5. Step 5: Solve for x
    x = 5,448,723,426.78/49,221
  6. Step 6: Final answer
    x = 110,699.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.