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Finding the Third Proportional to 6,942.19 and 15,235.31

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Solution

The third proportional to 6,942.19 and 15,235.31 is: 33,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.19 : 15,235.31 = 15,235.31 : x
  2. Step 2: Convert to fraction form
    6,942.19/15,235.31 = 15,235.31/x
  3. Step 3: Cross multiply
    6,942.19x = 15,235.31 × 15,235.31
  4. Step 4: Simplify right side
    6,942.19x = 232,114,746.97
  5. Step 5: Solve for x
    x = 232,114,746.97/6,942.19
  6. Step 6: Final answer
    x = 33,435.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.