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Finding the Third Proportional to 6,746.50 and 10,131

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Solution

The third proportional to 6,746.50 and 10,131 is: 15,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.50 : 10,131 = 10,131 : x
  2. Step 2: Convert to fraction form
    6,746.50/10,131 = 10,131/x
  3. Step 3: Cross multiply
    6,746.50x = 10,131 × 10,131
  4. Step 4: Simplify right side
    6,746.50x = 102,637,161
  5. Step 5: Solve for x
    x = 102,637,161/6,746.50
  6. Step 6: Final answer
    x = 15,213.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.