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Finding the Third Proportional to 6,911.47 and 10,424.48

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Solution

The third proportional to 6,911.47 and 10,424.48 is: 15,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.47 : 10,424.48 = 10,424.48 : x
  2. Step 2: Convert to fraction form
    6,911.47/10,424.48 = 10,424.48/x
  3. Step 3: Cross multiply
    6,911.47x = 10,424.48 × 10,424.48
  4. Step 4: Simplify right side
    6,911.47x = 108,669,752.32
  5. Step 5: Solve for x
    x = 108,669,752.32/6,911.47
  6. Step 6: Final answer
    x = 15,723.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.