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Finding the Third Proportional to 31,916 and 69,880

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Solution

The third proportional to 31,916 and 69,880 is: 153,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916 : 69,880 = 69,880 : x
  2. Step 2: Convert to fraction form
    31,916/69,880 = 69,880/x
  3. Step 3: Cross multiply
    31,916x = 69,880 × 69,880
  4. Step 4: Simplify right side
    31,916x = 4,883,214,400
  5. Step 5: Solve for x
    x = 4,883,214,400/31,916
  6. Step 6: Final answer
    x = 153,002.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.