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Finding the Third Proportional to 33,368.84 and 51,001.52

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Solution

The third proportional to 33,368.84 and 51,001.52 is: 77,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,368.84 : 51,001.52 = 51,001.52 : x
  2. Step 2: Convert to fraction form
    33,368.84/51,001.52 = 51,001.52/x
  3. Step 3: Cross multiply
    33,368.84x = 51,001.52 × 51,001.52
  4. Step 4: Simplify right side
    33,368.84x = 2,601,155,392.95
  5. Step 5: Solve for x
    x = 2,601,155,392.95/33,368.84
  6. Step 6: Final answer
    x = 77,951.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.