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Finding the Third Proportional to 2,323.69 and 6,042.09

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Solution

The third proportional to 2,323.69 and 6,042.09 is: 15,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.69 : 6,042.09 = 6,042.09 : x
  2. Step 2: Convert to fraction form
    2,323.69/6,042.09 = 6,042.09/x
  3. Step 3: Cross multiply
    2,323.69x = 6,042.09 × 6,042.09
  4. Step 4: Simplify right side
    2,323.69x = 36,506,896.88
  5. Step 5: Solve for x
    x = 36,506,896.88/2,323.69
  6. Step 6: Final answer
    x = 15,710.76

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.