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Finding the Third Proportional to 5,778.84 and 8,442.98

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Solution

The third proportional to 5,778.84 and 8,442.98 is: 12,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.84 : 8,442.98 = 8,442.98 : x
  2. Step 2: Convert to fraction form
    5,778.84/8,442.98 = 8,442.98/x
  3. Step 3: Cross multiply
    5,778.84x = 8,442.98 × 8,442.98
  4. Step 4: Simplify right side
    5,778.84x = 71,283,985.16
  5. Step 5: Solve for x
    x = 71,283,985.16/5,778.84
  6. Step 6: Final answer
    x = 12,335.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.