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Finding the Third Proportional to 7,592.06 and 8,442.56

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Solution

The third proportional to 7,592.06 and 8,442.56 is: 9,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.06 : 8,442.56 = 8,442.56 : x
  2. Step 2: Convert to fraction form
    7,592.06/8,442.56 = 8,442.56/x
  3. Step 3: Cross multiply
    7,592.06x = 8,442.56 × 8,442.56
  4. Step 4: Simplify right side
    7,592.06x = 71,276,861.57
  5. Step 5: Solve for x
    x = 71,276,861.57/7,592.06
  6. Step 6: Final answer
    x = 9,388.34

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.