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Finding the Third Proportional to 33,787.13 and 74,287.13

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Solution

The third proportional to 33,787.13 and 74,287.13 is: 163,333.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,787.13 : 74,287.13 = 74,287.13 : x
  2. Step 2: Convert to fraction form
    33,787.13/74,287.13 = 74,287.13/x
  3. Step 3: Cross multiply
    33,787.13x = 74,287.13 × 74,287.13
  4. Step 4: Simplify right side
    33,787.13x = 5,518,576,940.77
  5. Step 5: Solve for x
    x = 5,518,576,940.77/33,787.13
  6. Step 6: Final answer
    x = 163,333.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.