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Finding the Third Proportional to 20,844.84 and 31,318.52

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Solution

The third proportional to 20,844.84 and 31,318.52 is: 47,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.84 : 31,318.52 = 31,318.52 : x
  2. Step 2: Convert to fraction form
    20,844.84/31,318.52 = 31,318.52/x
  3. Step 3: Cross multiply
    20,844.84x = 31,318.52 × 31,318.52
  4. Step 4: Simplify right side
    20,844.84x = 980,849,910.31
  5. Step 5: Solve for x
    x = 980,849,910.31/20,844.84
  6. Step 6: Final answer
    x = 47,054.80

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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.