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Finding the Third Proportional to 22,117.78 and 48,123.42

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Solution

The third proportional to 22,117.78 and 48,123.42 is: 104,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.78 : 48,123.42 = 48,123.42 : x
  2. Step 2: Convert to fraction form
    22,117.78/48,123.42 = 48,123.42/x
  3. Step 3: Cross multiply
    22,117.78x = 48,123.42 × 48,123.42
  4. Step 4: Simplify right side
    22,117.78x = 2,315,863,732.96
  5. Step 5: Solve for x
    x = 2,315,863,732.96/22,117.78
  6. Step 6: Final answer
    x = 104,705.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.