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Finding the Third Proportional to 7,734 and 10,173

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Solution

The third proportional to 7,734 and 10,173 is: 13,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734 : 10,173 = 10,173 : x
  2. Step 2: Convert to fraction form
    7,734/10,173 = 10,173/x
  3. Step 3: Cross multiply
    7,734x = 10,173 × 10,173
  4. Step 4: Simplify right side
    7,734x = 103,489,929
  5. Step 5: Solve for x
    x = 103,489,929/7,734
  6. Step 6: Final answer
    x = 13,381.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.