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Finding the Third Proportional to 10,539 and 23,409

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Solution

The third proportional to 10,539 and 23,409 is: 51,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539 : 23,409 = 23,409 : x
  2. Step 2: Convert to fraction form
    10,539/23,409 = 23,409/x
  3. Step 3: Cross multiply
    10,539x = 23,409 × 23,409
  4. Step 4: Simplify right side
    10,539x = 547,981,281
  5. Step 5: Solve for x
    x = 547,981,281/10,539
  6. Step 6: Final answer
    x = 51,995.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.