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Finding the Third Proportional to 6,736.50 and 15,730.13

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Solution

The third proportional to 6,736.50 and 15,730.13 is: 36,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.50 : 15,730.13 = 15,730.13 : x
  2. Step 2: Convert to fraction form
    6,736.50/15,730.13 = 15,730.13/x
  3. Step 3: Cross multiply
    6,736.50x = 15,730.13 × 15,730.13
  4. Step 4: Simplify right side
    6,736.50x = 247,436,832.52
  5. Step 5: Solve for x
    x = 247,436,832.52/6,736.50
  6. Step 6: Final answer
    x = 36,730.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.