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Finding the Third Proportional to 10,710 and 23,259

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Solution

The third proportional to 10,710 and 23,259 is: 50,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710 : 23,259 = 23,259 : x
  2. Step 2: Convert to fraction form
    10,710/23,259 = 23,259/x
  3. Step 3: Cross multiply
    10,710x = 23,259 × 23,259
  4. Step 4: Simplify right side
    10,710x = 540,981,081
  5. Step 5: Solve for x
    x = 540,981,081/10,710
  6. Step 6: Final answer
    x = 50,511.77

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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.