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Finding the Third Proportional to 3,148.08 and 6,625.07

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Solution

The third proportional to 3,148.08 and 6,625.07 is: 13,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.08 : 6,625.07 = 6,625.07 : x
  2. Step 2: Convert to fraction form
    3,148.08/6,625.07 = 6,625.07/x
  3. Step 3: Cross multiply
    3,148.08x = 6,625.07 × 6,625.07
  4. Step 4: Simplify right side
    3,148.08x = 43,891,582.52
  5. Step 5: Solve for x
    x = 43,891,582.52/3,148.08
  6. Step 6: Final answer
    x = 13,942.32

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.