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Finding the Third Proportional to 15,434 and 17,738

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Solution

The third proportional to 15,434 and 17,738 is: 20,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434 : 17,738 = 17,738 : x
  2. Step 2: Convert to fraction form
    15,434/17,738 = 17,738/x
  3. Step 3: Cross multiply
    15,434x = 17,738 × 17,738
  4. Step 4: Simplify right side
    15,434x = 314,636,644
  5. Step 5: Solve for x
    x = 314,636,644/15,434
  6. Step 6: Final answer
    x = 20,385.94

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.