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Finding the Third Proportional to 5,665.78 and 8,999.44

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Solution

The third proportional to 5,665.78 and 8,999.44 is: 14,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.78 : 8,999.44 = 8,999.44 : x
  2. Step 2: Convert to fraction form
    5,665.78/8,999.44 = 8,999.44/x
  3. Step 3: Cross multiply
    5,665.78x = 8,999.44 × 8,999.44
  4. Step 4: Simplify right side
    5,665.78x = 80,989,875.32
  5. Step 5: Solve for x
    x = 80,989,875.32/5,665.78
  6. Step 6: Final answer
    x = 14,294.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.