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Finding the Third Proportional to 15,794.94 and 34,357.75

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Solution

The third proportional to 15,794.94 and 34,357.75 is: 74,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.94 : 34,357.75 = 34,357.75 : x
  2. Step 2: Convert to fraction form
    15,794.94/34,357.75 = 34,357.75/x
  3. Step 3: Cross multiply
    15,794.94x = 34,357.75 × 34,357.75
  4. Step 4: Simplify right side
    15,794.94x = 1,180,454,985.06
  5. Step 5: Solve for x
    x = 1,180,454,985.06/15,794.94
  6. Step 6: Final answer
    x = 74,736.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.