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Finding the Third Proportional to 10,802 and 23,636

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Solution

The third proportional to 10,802 and 23,636 is: 51,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802 : 23,636 = 23,636 : x
  2. Step 2: Convert to fraction form
    10,802/23,636 = 23,636/x
  3. Step 3: Cross multiply
    10,802x = 23,636 × 23,636
  4. Step 4: Simplify right side
    10,802x = 558,660,496
  5. Step 5: Solve for x
    x = 558,660,496/10,802
  6. Step 6: Final answer
    x = 51,718.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.