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Finding the Third Proportional to 5,292.56 and 11,313.56

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Solution

The third proportional to 5,292.56 and 11,313.56 is: 24,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.56 : 11,313.56 = 11,313.56 : x
  2. Step 2: Convert to fraction form
    5,292.56/11,313.56 = 11,313.56/x
  3. Step 3: Cross multiply
    5,292.56x = 11,313.56 × 11,313.56
  4. Step 4: Simplify right side
    5,292.56x = 127,996,696.44
  5. Step 5: Solve for x
    x = 127,996,696.44/5,292.56
  6. Step 6: Final answer
    x = 24,184.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.