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Finding the Third Proportional to 15,120.75 and 31,922.25

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Solution

The third proportional to 15,120.75 and 31,922.25 is: 67,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.75 : 31,922.25 = 31,922.25 : x
  2. Step 2: Convert to fraction form
    15,120.75/31,922.25 = 31,922.25/x
  3. Step 3: Cross multiply
    15,120.75x = 31,922.25 × 31,922.25
  4. Step 4: Simplify right side
    15,120.75x = 1,019,030,045.06
  5. Step 5: Solve for x
    x = 1,019,030,045.06/15,120.75
  6. Step 6: Final answer
    x = 67,392.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.