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Finding the Third Proportional to 6,746.63 and 10,324.97

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Solution

The third proportional to 6,746.63 and 10,324.97 is: 15,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.63 : 10,324.97 = 10,324.97 : x
  2. Step 2: Convert to fraction form
    6,746.63/10,324.97 = 10,324.97/x
  3. Step 3: Cross multiply
    6,746.63x = 10,324.97 × 10,324.97
  4. Step 4: Simplify right side
    6,746.63x = 106,604,979.69
  5. Step 5: Solve for x
    x = 106,604,979.69/6,746.63
  6. Step 6: Final answer
    x = 15,801.23

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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.