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Finding the Third Proportional to 33,301.13 and 54,933.19

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Solution

The third proportional to 33,301.13 and 54,933.19 is: 90,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,301.13 : 54,933.19 = 54,933.19 : x
  2. Step 2: Convert to fraction form
    33,301.13/54,933.19 = 54,933.19/x
  3. Step 3: Cross multiply
    33,301.13x = 54,933.19 × 54,933.19
  4. Step 4: Simplify right side
    33,301.13x = 3,017,655,088.91
  5. Step 5: Solve for x
    x = 3,017,655,088.91/33,301.13
  6. Step 6: Final answer
    x = 90,617.21

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.