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Finding the Third Proportional to 31,990.50 and 48,426.19

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Solution

The third proportional to 31,990.50 and 48,426.19 is: 73,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.50 : 48,426.19 = 48,426.19 : x
  2. Step 2: Convert to fraction form
    31,990.50/48,426.19 = 48,426.19/x
  3. Step 3: Cross multiply
    31,990.50x = 48,426.19 × 48,426.19
  4. Step 4: Simplify right side
    31,990.50x = 2,345,095,635.79
  5. Step 5: Solve for x
    x = 2,345,095,635.79/31,990.50
  6. Step 6: Final answer
    x = 73,306.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.