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Finding the Third Proportional to 23,187.75 and 31,497.75

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Solution

The third proportional to 23,187.75 and 31,497.75 is: 42,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.75 : 31,497.75 = 31,497.75 : x
  2. Step 2: Convert to fraction form
    23,187.75/31,497.75 = 31,497.75/x
  3. Step 3: Cross multiply
    23,187.75x = 31,497.75 × 31,497.75
  4. Step 4: Simplify right side
    23,187.75x = 992,108,255.06
  5. Step 5: Solve for x
    x = 992,108,255.06/23,187.75
  6. Step 6: Final answer
    x = 42,785.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.