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Finding the Third Proportional to 31,875 and 70,041

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Solution

The third proportional to 31,875 and 70,041 is: 153,905.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875 : 70,041 = 70,041 : x
  2. Step 2: Convert to fraction form
    31,875/70,041 = 70,041/x
  3. Step 3: Cross multiply
    31,875x = 70,041 × 70,041
  4. Step 4: Simplify right side
    31,875x = 4,905,741,681
  5. Step 5: Solve for x
    x = 4,905,741,681/31,875
  6. Step 6: Final answer
    x = 153,905.62

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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.