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Finding the Third Proportional to 11,221 and 23,657

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Solution

The third proportional to 11,221 and 23,657 is: 49,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221 : 23,657 = 23,657 : x
  2. Step 2: Convert to fraction form
    11,221/23,657 = 23,657/x
  3. Step 3: Cross multiply
    11,221x = 23,657 × 23,657
  4. Step 4: Simplify right side
    11,221x = 559,653,649
  5. Step 5: Solve for x
    x = 559,653,649/11,221
  6. Step 6: Final answer
    x = 49,875.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.