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Finding the Third Proportional to 27,721 and 59,411

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Solution

The third proportional to 27,721 and 59,411 is: 127,328.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,721 : 59,411 = 59,411 : x
  2. Step 2: Convert to fraction form
    27,721/59,411 = 59,411/x
  3. Step 3: Cross multiply
    27,721x = 59,411 × 59,411
  4. Step 4: Simplify right side
    27,721x = 3,529,666,921
  5. Step 5: Solve for x
    x = 3,529,666,921/27,721
  6. Step 6: Final answer
    x = 127,328.27

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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.