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Finding the Third Proportional to 21,918 and 31,340.44

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Solution

The third proportional to 21,918 and 31,340.44 is: 44,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918 : 31,340.44 = 31,340.44 : x
  2. Step 2: Convert to fraction form
    21,918/31,340.44 = 31,340.44/x
  3. Step 3: Cross multiply
    21,918x = 31,340.44 × 31,340.44
  4. Step 4: Simplify right side
    21,918x = 982,223,022.69
  5. Step 5: Solve for x
    x = 982,223,022.69/21,918
  6. Step 6: Final answer
    x = 44,813.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.