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Finding the Third Proportional to 15,315.75 and 41,222.25

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Solution

The third proportional to 15,315.75 and 41,222.25 is: 110,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315.75 : 41,222.25 = 41,222.25 : x
  2. Step 2: Convert to fraction form
    15,315.75/41,222.25 = 41,222.25/x
  3. Step 3: Cross multiply
    15,315.75x = 41,222.25 × 41,222.25
  4. Step 4: Simplify right side
    15,315.75x = 1,699,273,895.06
  5. Step 5: Solve for x
    x = 1,699,273,895.06/15,315.75
  6. Step 6: Final answer
    x = 110,949.44

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.