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Finding the Third Proportional to 4,927.41 and 7,442.34

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Solution

The third proportional to 4,927.41 and 7,442.34 is: 11,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.41 : 7,442.34 = 7,442.34 : x
  2. Step 2: Convert to fraction form
    4,927.41/7,442.34 = 7,442.34/x
  3. Step 3: Cross multiply
    4,927.41x = 7,442.34 × 7,442.34
  4. Step 4: Simplify right side
    4,927.41x = 55,388,480.49
  5. Step 5: Solve for x
    x = 55,388,480.49/4,927.41
  6. Step 6: Final answer
    x = 11,240.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.