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Finding the Third Proportional to 33,099 and 77,553

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Solution

The third proportional to 33,099 and 77,553 is: 181,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,099 : 77,553 = 77,553 : x
  2. Step 2: Convert to fraction form
    33,099/77,553 = 77,553/x
  3. Step 3: Cross multiply
    33,099x = 77,553 × 77,553
  4. Step 4: Simplify right side
    33,099x = 6,014,467,809
  5. Step 5: Solve for x
    x = 6,014,467,809/33,099
  6. Step 6: Final answer
    x = 181,711.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.