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Finding the Third Proportional to 22,732.50 and 49,595.25

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Solution

The third proportional to 22,732.50 and 49,595.25 is: 108,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.50 : 49,595.25 = 49,595.25 : x
  2. Step 2: Convert to fraction form
    22,732.50/49,595.25 = 49,595.25/x
  3. Step 3: Cross multiply
    22,732.50x = 49,595.25 × 49,595.25
  4. Step 4: Simplify right side
    22,732.50x = 2,459,688,822.56
  5. Step 5: Solve for x
    x = 2,459,688,822.56/22,732.50
  6. Step 6: Final answer
    x = 108,201.42

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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.