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Finding the Third Proportional to 33,089.50 and 71,363

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Solution

The third proportional to 33,089.50 and 71,363 is: 153,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,089.50 : 71,363 = 71,363 : x
  2. Step 2: Convert to fraction form
    33,089.50/71,363 = 71,363/x
  3. Step 3: Cross multiply
    33,089.50x = 71,363 × 71,363
  4. Step 4: Simplify right side
    33,089.50x = 5,092,677,769
  5. Step 5: Solve for x
    x = 5,092,677,769/33,089.50
  6. Step 6: Final answer
    x = 153,906.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.