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Finding the Third Proportional to 2,252.81 and 5,152.36

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Solution

The third proportional to 2,252.81 and 5,152.36 is: 11,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.81 : 5,152.36 = 5,152.36 : x
  2. Step 2: Convert to fraction form
    2,252.81/5,152.36 = 5,152.36/x
  3. Step 3: Cross multiply
    2,252.81x = 5,152.36 × 5,152.36
  4. Step 4: Simplify right side
    2,252.81x = 26,546,807.13
  5. Step 5: Solve for x
    x = 26,546,807.13/2,252.81
  6. Step 6: Final answer
    x = 11,783.85

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.