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Finding the Third Proportional to 22,974.47 and 48,783.94

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Solution

The third proportional to 22,974.47 and 48,783.94 is: 103,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.47 : 48,783.94 = 48,783.94 : x
  2. Step 2: Convert to fraction form
    22,974.47/48,783.94 = 48,783.94/x
  3. Step 3: Cross multiply
    22,974.47x = 48,783.94 × 48,783.94
  4. Step 4: Simplify right side
    22,974.47x = 2,379,872,558.00
  5. Step 5: Solve for x
    x = 2,379,872,558.00/22,974.47
  6. Step 6: Final answer
    x = 103,587.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.