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Finding the Third Proportional to 31,864.50 and 70,047

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Solution

The third proportional to 31,864.50 and 70,047 is: 153,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.50 : 70,047 = 70,047 : x
  2. Step 2: Convert to fraction form
    31,864.50/70,047 = 70,047/x
  3. Step 3: Cross multiply
    31,864.50x = 70,047 × 70,047
  4. Step 4: Simplify right side
    31,864.50x = 4,906,582,209
  5. Step 5: Solve for x
    x = 4,906,582,209/31,864.50
  6. Step 6: Final answer
    x = 153,982.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.