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Finding the Third Proportional to 20,025.84 and 42,640.31

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Solution

The third proportional to 20,025.84 and 42,640.31 is: 90,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,025.84 : 42,640.31 = 42,640.31 : x
  2. Step 2: Convert to fraction form
    20,025.84/42,640.31 = 42,640.31/x
  3. Step 3: Cross multiply
    20,025.84x = 42,640.31 × 42,640.31
  4. Step 4: Simplify right side
    20,025.84x = 1,818,196,250.10
  5. Step 5: Solve for x
    x = 1,818,196,250.10/20,025.84
  6. Step 6: Final answer
    x = 90,792.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.