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Finding the Third Proportional to 20,913.94 and 31,417.31

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Solution

The third proportional to 20,913.94 and 31,417.31 is: 47,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,913.94 : 31,417.31 = 31,417.31 : x
  2. Step 2: Convert to fraction form
    20,913.94/31,417.31 = 31,417.31/x
  3. Step 3: Cross multiply
    20,913.94x = 31,417.31 × 31,417.31
  4. Step 4: Simplify right side
    20,913.94x = 987,047,524.72
  5. Step 5: Solve for x
    x = 987,047,524.72/20,913.94
  6. Step 6: Final answer
    x = 47,195.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.