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Finding the Third Proportional to 1,848.38 and 4,004.38

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Solution

The third proportional to 1,848.38 and 4,004.38 is: 8,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.38 : 4,004.38 = 4,004.38 : x
  2. Step 2: Convert to fraction form
    1,848.38/4,004.38 = 4,004.38/x
  3. Step 3: Cross multiply
    1,848.38x = 4,004.38 × 4,004.38
  4. Step 4: Simplify right side
    1,848.38x = 16,035,019.14
  5. Step 5: Solve for x
    x = 16,035,019.14/1,848.38
  6. Step 6: Final answer
    x = 8,675.20

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Why These Related Problems?

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