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Finding the Third Proportional to 31,834 and 70,022

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Solution

The third proportional to 31,834 and 70,022 is: 154,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834 : 70,022 = 70,022 : x
  2. Step 2: Convert to fraction form
    31,834/70,022 = 70,022/x
  3. Step 3: Cross multiply
    31,834x = 70,022 × 70,022
  4. Step 4: Simplify right side
    31,834x = 4,903,080,484
  5. Step 5: Solve for x
    x = 4,903,080,484/31,834
  6. Step 6: Final answer
    x = 154,020.25

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Why These Related Problems?

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