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Finding the Third Proportional to 5,232.94 and 11,296.13

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Solution

The third proportional to 5,232.94 and 11,296.13 is: 24,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.94 : 11,296.13 = 11,296.13 : x
  2. Step 2: Convert to fraction form
    5,232.94/11,296.13 = 11,296.13/x
  3. Step 3: Cross multiply
    5,232.94x = 11,296.13 × 11,296.13
  4. Step 4: Simplify right side
    5,232.94x = 127,602,440.02
  5. Step 5: Solve for x
    x = 127,602,440.02/5,232.94
  6. Step 6: Final answer
    x = 24,384.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.