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Finding the Third Proportional to 21,786 and 34,533

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Solution

The third proportional to 21,786 and 34,533 is: 54,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786 : 34,533 = 34,533 : x
  2. Step 2: Convert to fraction form
    21,786/34,533 = 34,533/x
  3. Step 3: Cross multiply
    21,786x = 34,533 × 34,533
  4. Step 4: Simplify right side
    21,786x = 1,192,528,089
  5. Step 5: Solve for x
    x = 1,192,528,089/21,786
  6. Step 6: Final answer
    x = 54,738.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.