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Finding the Third Proportional to 20,386.69 and 47,288.81

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Solution

The third proportional to 20,386.69 and 47,288.81 is: 109,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386.69 : 47,288.81 = 47,288.81 : x
  2. Step 2: Convert to fraction form
    20,386.69/47,288.81 = 47,288.81/x
  3. Step 3: Cross multiply
    20,386.69x = 47,288.81 × 47,288.81
  4. Step 4: Simplify right side
    20,386.69x = 2,236,231,787.66
  5. Step 5: Solve for x
    x = 2,236,231,787.66/20,386.69
  6. Step 6: Final answer
    x = 109,690.79

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.