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Finding the Third Proportional to 22,373 and 31,355.50

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Solution

The third proportional to 22,373 and 31,355.50 is: 43,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,373 : 31,355.50 = 31,355.50 : x
  2. Step 2: Convert to fraction form
    22,373/31,355.50 = 31,355.50/x
  3. Step 3: Cross multiply
    22,373x = 31,355.50 × 31,355.50
  4. Step 4: Simplify right side
    22,373x = 983,167,380.25
  5. Step 5: Solve for x
    x = 983,167,380.25/22,373
  6. Step 6: Final answer
    x = 43,944.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.