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Finding the Third Proportional to 4,077 and 6,287.63

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Solution

The third proportional to 4,077 and 6,287.63 is: 9,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 6,287.63 = 6,287.63 : x
  2. Step 2: Convert to fraction form
    4,077/6,287.63 = 6,287.63/x
  3. Step 3: Cross multiply
    4,077x = 6,287.63 × 6,287.63
  4. Step 4: Simplify right side
    4,077x = 39,534,228.14
  5. Step 5: Solve for x
    x = 39,534,228.14/4,077
  6. Step 6: Final answer
    x = 9,696.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.