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Finding the Third Proportional to 15,930.75 and 22,281.75

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Solution

The third proportional to 15,930.75 and 22,281.75 is: 31,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.75 : 22,281.75 = 22,281.75 : x
  2. Step 2: Convert to fraction form
    15,930.75/22,281.75 = 22,281.75/x
  3. Step 3: Cross multiply
    15,930.75x = 22,281.75 × 22,281.75
  4. Step 4: Simplify right side
    15,930.75x = 496,476,383.06
  5. Step 5: Solve for x
    x = 496,476,383.06/15,930.75
  6. Step 6: Final answer
    x = 31,164.66

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