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Finding the Third Proportional to 31,871 and 70,033

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Solution

The third proportional to 31,871 and 70,033 is: 153,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871 : 70,033 = 70,033 : x
  2. Step 2: Convert to fraction form
    31,871/70,033 = 70,033/x
  3. Step 3: Cross multiply
    31,871x = 70,033 × 70,033
  4. Step 4: Simplify right side
    31,871x = 4,904,621,089
  5. Step 5: Solve for x
    x = 4,904,621,089/31,871
  6. Step 6: Final answer
    x = 153,889.78

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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.