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Finding the Third Proportional to 20,257.31 and 30,665.81

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Solution

The third proportional to 20,257.31 and 30,665.81 is: 46,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.31 : 30,665.81 = 30,665.81 : x
  2. Step 2: Convert to fraction form
    20,257.31/30,665.81 = 30,665.81/x
  3. Step 3: Cross multiply
    20,257.31x = 30,665.81 × 30,665.81
  4. Step 4: Simplify right side
    20,257.31x = 940,392,056.29
  5. Step 5: Solve for x
    x = 940,392,056.29/20,257.31
  6. Step 6: Final answer
    x = 46,422.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.