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Finding the Third Proportional to 31,903.50 and 74,517

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Solution

The third proportional to 31,903.50 and 74,517 is: 174,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.50 : 74,517 = 74,517 : x
  2. Step 2: Convert to fraction form
    31,903.50/74,517 = 74,517/x
  3. Step 3: Cross multiply
    31,903.50x = 74,517 × 74,517
  4. Step 4: Simplify right side
    31,903.50x = 5,552,783,289
  5. Step 5: Solve for x
    x = 5,552,783,289/31,903.50
  6. Step 6: Final answer
    x = 174,049.35

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.