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Finding the Third Proportional to 20,229.75 and 42,509.81

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Solution

The third proportional to 20,229.75 and 42,509.81 is: 89,328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.75 : 42,509.81 = 42,509.81 : x
  2. Step 2: Convert to fraction form
    20,229.75/42,509.81 = 42,509.81/x
  3. Step 3: Cross multiply
    20,229.75x = 42,509.81 × 42,509.81
  4. Step 4: Simplify right side
    20,229.75x = 1,807,084,158.79
  5. Step 5: Solve for x
    x = 1,807,084,158.79/20,229.75
  6. Step 6: Final answer
    x = 89,328.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.