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Finding the Third Proportional to 4,528.83 and 6,998.48

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Solution

The third proportional to 4,528.83 and 6,998.48 is: 10,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528.83 : 6,998.48 = 6,998.48 : x
  2. Step 2: Convert to fraction form
    4,528.83/6,998.48 = 6,998.48/x
  3. Step 3: Cross multiply
    4,528.83x = 6,998.48 × 6,998.48
  4. Step 4: Simplify right side
    4,528.83x = 48,978,783.55
  5. Step 5: Solve for x
    x = 48,978,783.55/4,528.83
  6. Step 6: Final answer
    x = 10,814.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.