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Finding the Third Proportional to 10,527 and 23,173

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Solution

The third proportional to 10,527 and 23,173 is: 51,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527 : 23,173 = 23,173 : x
  2. Step 2: Convert to fraction form
    10,527/23,173 = 23,173/x
  3. Step 3: Cross multiply
    10,527x = 23,173 × 23,173
  4. Step 4: Simplify right side
    10,527x = 536,987,929
  5. Step 5: Solve for x
    x = 536,987,929/10,527
  6. Step 6: Final answer
    x = 51,010.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.