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Finding the Third Proportional to 6,908.63 and 10,352.81

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Solution

The third proportional to 6,908.63 and 10,352.81 is: 15,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.63 : 10,352.81 = 10,352.81 : x
  2. Step 2: Convert to fraction form
    6,908.63/10,352.81 = 10,352.81/x
  3. Step 3: Cross multiply
    6,908.63x = 10,352.81 × 10,352.81
  4. Step 4: Simplify right side
    6,908.63x = 107,180,726.66
  5. Step 5: Solve for x
    x = 107,180,726.66/6,908.63
  6. Step 6: Final answer
    x = 15,514.05

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