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Finding the Third Proportional to 5,597.44 and 7,845.61

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Solution

The third proportional to 5,597.44 and 7,845.61 is: 10,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.44 : 7,845.61 = 7,845.61 : x
  2. Step 2: Convert to fraction form
    5,597.44/7,845.61 = 7,845.61/x
  3. Step 3: Cross multiply
    5,597.44x = 7,845.61 × 7,845.61
  4. Step 4: Simplify right side
    5,597.44x = 61,553,586.47
  5. Step 5: Solve for x
    x = 61,553,586.47/5,597.44
  6. Step 6: Final answer
    x = 10,996.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.