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Finding the Third Proportional to 11,023 and 23,636

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Solution

The third proportional to 11,023 and 23,636 is: 50,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023 : 23,636 = 23,636 : x
  2. Step 2: Convert to fraction form
    11,023/23,636 = 23,636/x
  3. Step 3: Cross multiply
    11,023x = 23,636 × 23,636
  4. Step 4: Simplify right side
    11,023x = 558,660,496
  5. Step 5: Solve for x
    x = 558,660,496/11,023
  6. Step 6: Final answer
    x = 50,681.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.