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Finding the Third Proportional to 11,033 and 22,654

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Solution

The third proportional to 11,033 and 22,654 is: 46,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,033 : 22,654 = 22,654 : x
  2. Step 2: Convert to fraction form
    11,033/22,654 = 22,654/x
  3. Step 3: Cross multiply
    11,033x = 22,654 × 22,654
  4. Step 4: Simplify right side
    11,033x = 513,203,716
  5. Step 5: Solve for x
    x = 513,203,716/11,033
  6. Step 6: Final answer
    x = 46,515.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.