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Finding the Third Proportional to 5,319.94 and 11,572.31

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Solution

The third proportional to 5,319.94 and 11,572.31 is: 25,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.94 : 11,572.31 = 11,572.31 : x
  2. Step 2: Convert to fraction form
    5,319.94/11,572.31 = 11,572.31/x
  3. Step 3: Cross multiply
    5,319.94x = 11,572.31 × 11,572.31
  4. Step 4: Simplify right side
    5,319.94x = 133,918,416.60
  5. Step 5: Solve for x
    x = 133,918,416.60/5,319.94
  6. Step 6: Final answer
    x = 25,172.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.