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Finding the Third Proportional to 22,545.42 and 48,703.78

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Solution

The third proportional to 22,545.42 and 48,703.78 is: 105,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545.42 : 48,703.78 = 48,703.78 : x
  2. Step 2: Convert to fraction form
    22,545.42/48,703.78 = 48,703.78/x
  3. Step 3: Cross multiply
    22,545.42x = 48,703.78 × 48,703.78
  4. Step 4: Simplify right side
    22,545.42x = 2,372,058,308.05
  5. Step 5: Solve for x
    x = 2,372,058,308.05/22,545.42
  6. Step 6: Final answer
    x = 105,212.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.