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Finding the Third Proportional to 6,932.25 and 10,649.81

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Solution

The third proportional to 6,932.25 and 10,649.81 is: 16,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.25 : 10,649.81 = 10,649.81 : x
  2. Step 2: Convert to fraction form
    6,932.25/10,649.81 = 10,649.81/x
  3. Step 3: Cross multiply
    6,932.25x = 10,649.81 × 10,649.81
  4. Step 4: Simplify right side
    6,932.25x = 113,418,506.29
  5. Step 5: Solve for x
    x = 113,418,506.29/6,932.25
  6. Step 6: Final answer
    x = 16,360.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.