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Finding the Third Proportional to 1,848.25 and 4,007.38

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Solution

The third proportional to 1,848.25 and 4,007.38 is: 8,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.25 : 4,007.38 = 4,007.38 : x
  2. Step 2: Convert to fraction form
    1,848.25/4,007.38 = 4,007.38/x
  3. Step 3: Cross multiply
    1,848.25x = 4,007.38 × 4,007.38
  4. Step 4: Simplify right side
    1,848.25x = 16,059,054.39
  5. Step 5: Solve for x
    x = 16,059,054.39/1,848.25
  6. Step 6: Final answer
    x = 8,688.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.