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Finding the Third Proportional to 33,090.50 and 71,365

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Solution

The third proportional to 33,090.50 and 71,365 is: 153,910.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090.50 : 71,365 = 71,365 : x
  2. Step 2: Convert to fraction form
    33,090.50/71,365 = 71,365/x
  3. Step 3: Cross multiply
    33,090.50x = 71,365 × 71,365
  4. Step 4: Simplify right side
    33,090.50x = 5,092,963,225
  5. Step 5: Solve for x
    x = 5,092,963,225/33,090.50
  6. Step 6: Final answer
    x = 153,910.13

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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.