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Finding the Third Proportional to 6,651.84 and 10,298.81

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Solution

The third proportional to 6,651.84 and 10,298.81 is: 15,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.84 : 10,298.81 = 10,298.81 : x
  2. Step 2: Convert to fraction form
    6,651.84/10,298.81 = 10,298.81/x
  3. Step 3: Cross multiply
    6,651.84x = 10,298.81 × 10,298.81
  4. Step 4: Simplify right side
    6,651.84x = 106,065,538.91
  5. Step 5: Solve for x
    x = 106,065,538.91/6,651.84
  6. Step 6: Final answer
    x = 15,945.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.