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Finding the Third Proportional to 31,222.97 and 48,926.53

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Solution

The third proportional to 31,222.97 and 48,926.53 is: 76,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.97 : 48,926.53 = 48,926.53 : x
  2. Step 2: Convert to fraction form
    31,222.97/48,926.53 = 48,926.53/x
  3. Step 3: Cross multiply
    31,222.97x = 48,926.53 × 48,926.53
  4. Step 4: Simplify right side
    31,222.97x = 2,393,805,460.16
  5. Step 5: Solve for x
    x = 2,393,805,460.16/31,222.97
  6. Step 6: Final answer
    x = 76,668.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.