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Finding the Third Proportional to 15,880 and 34,497

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Solution

The third proportional to 15,880 and 34,497 is: 74,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 34,497 = 34,497 : x
  2. Step 2: Convert to fraction form
    15,880/34,497 = 34,497/x
  3. Step 3: Cross multiply
    15,880x = 34,497 × 34,497
  4. Step 4: Simplify right side
    15,880x = 1,190,043,009
  5. Step 5: Solve for x
    x = 1,190,043,009/15,880
  6. Step 6: Final answer
    x = 74,939.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.