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Finding the Third Proportional to 4,089.66 and 4,990.78

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Solution

The third proportional to 4,089.66 and 4,990.78 is: 6,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.66 : 4,990.78 = 4,990.78 : x
  2. Step 2: Convert to fraction form
    4,089.66/4,990.78 = 4,990.78/x
  3. Step 3: Cross multiply
    4,089.66x = 4,990.78 × 4,990.78
  4. Step 4: Simplify right side
    4,089.66x = 24,907,897.49
  5. Step 5: Solve for x
    x = 24,907,897.49/4,089.66
  6. Step 6: Final answer
    x = 6,090.46

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.