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Finding the Third Proportional to 33,818.16 and 52,569.28

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Solution

The third proportional to 33,818.16 and 52,569.28 is: 81,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,818.16 : 52,569.28 = 52,569.28 : x
  2. Step 2: Convert to fraction form
    33,818.16/52,569.28 = 52,569.28/x
  3. Step 3: Cross multiply
    33,818.16x = 52,569.28 × 52,569.28
  4. Step 4: Simplify right side
    33,818.16x = 2,763,529,331.14
  5. Step 5: Solve for x
    x = 2,763,529,331.14/33,818.16
  6. Step 6: Final answer
    x = 81,717.33

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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.