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Finding the Third Proportional to 18,904.50 and 31,384.50

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Solution

The third proportional to 18,904.50 and 31,384.50 is: 52,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,904.50 : 31,384.50 = 31,384.50 : x
  2. Step 2: Convert to fraction form
    18,904.50/31,384.50 = 31,384.50/x
  3. Step 3: Cross multiply
    18,904.50x = 31,384.50 × 31,384.50
  4. Step 4: Simplify right side
    18,904.50x = 984,986,840.25
  5. Step 5: Solve for x
    x = 984,986,840.25/18,904.50
  6. Step 6: Final answer
    x = 52,103.30

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.