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Finding the Third Proportional to 64,288.69 and 71,464.78

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Solution

The third proportional to 64,288.69 and 71,464.78 is: 79,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,288.69 : 71,464.78 = 71,464.78 : x
  2. Step 2: Convert to fraction form
    64,288.69/71,464.78 = 71,464.78/x
  3. Step 3: Cross multiply
    64,288.69x = 71,464.78 × 71,464.78
  4. Step 4: Simplify right side
    64,288.69x = 5,107,214,959.11
  5. Step 5: Solve for x
    x = 5,107,214,959.11/64,288.69
  6. Step 6: Final answer
    x = 79,441.89

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.