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Finding the Third Proportional to 33,001.13 and 51,125.06

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Solution

The third proportional to 33,001.13 and 51,125.06 is: 79,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,001.13 : 51,125.06 = 51,125.06 : x
  2. Step 2: Convert to fraction form
    33,001.13/51,125.06 = 51,125.06/x
  3. Step 3: Cross multiply
    33,001.13x = 51,125.06 × 51,125.06
  4. Step 4: Simplify right side
    33,001.13x = 2,613,772,015.63
  5. Step 5: Solve for x
    x = 2,613,772,015.63/33,001.13
  6. Step 6: Final answer
    x = 79,202.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.