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Finding the Third Proportional to 6,473.25 and 10,366.88

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Solution

The third proportional to 6,473.25 and 10,366.88 is: 16,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.25 : 10,366.88 = 10,366.88 : x
  2. Step 2: Convert to fraction form
    6,473.25/10,366.88 = 10,366.88/x
  3. Step 3: Cross multiply
    6,473.25x = 10,366.88 × 10,366.88
  4. Step 4: Simplify right side
    6,473.25x = 107,472,097.27
  5. Step 5: Solve for x
    x = 107,472,097.27/6,473.25
  6. Step 6: Final answer
    x = 16,602.49

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.