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Finding the Third Proportional to 6,428.11 and 9,182.74

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Solution

The third proportional to 6,428.11 and 9,182.74 is: 13,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.11 : 9,182.74 = 9,182.74 : x
  2. Step 2: Convert to fraction form
    6,428.11/9,182.74 = 9,182.74/x
  3. Step 3: Cross multiply
    6,428.11x = 9,182.74 × 9,182.74
  4. Step 4: Simplify right side
    6,428.11x = 84,322,754.08
  5. Step 5: Solve for x
    x = 84,322,754.08/6,428.11
  6. Step 6: Final answer
    x = 13,117.82

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.