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Finding the Third Proportional to 4,172.06 and 6,497.44

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Solution

The third proportional to 4,172.06 and 6,497.44 is: 10,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.06 : 6,497.44 = 6,497.44 : x
  2. Step 2: Convert to fraction form
    4,172.06/6,497.44 = 6,497.44/x
  3. Step 3: Cross multiply
    4,172.06x = 6,497.44 × 6,497.44
  4. Step 4: Simplify right side
    4,172.06x = 42,216,694.07
  5. Step 5: Solve for x
    x = 42,216,694.07/4,172.06
  6. Step 6: Final answer
    x = 10,118.90

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.