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Finding the Third Proportional to 33,396.75 and 53,254.13

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Solution

The third proportional to 33,396.75 and 53,254.13 is: 84,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,396.75 : 53,254.13 = 53,254.13 : x
  2. Step 2: Convert to fraction form
    33,396.75/53,254.13 = 53,254.13/x
  3. Step 3: Cross multiply
    33,396.75x = 53,254.13 × 53,254.13
  4. Step 4: Simplify right side
    33,396.75x = 2,836,001,829.52
  5. Step 5: Solve for x
    x = 2,836,001,829.52/33,396.75
  6. Step 6: Final answer
    x = 84,918.50

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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.