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Finding the Third Proportional to 4,077 and 9,463.50

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Solution

The third proportional to 4,077 and 9,463.50 is: 21,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077 : 9,463.50 = 9,463.50 : x
  2. Step 2: Convert to fraction form
    4,077/9,463.50 = 9,463.50/x
  3. Step 3: Cross multiply
    4,077x = 9,463.50 × 9,463.50
  4. Step 4: Simplify right side
    4,077x = 89,557,832.25
  5. Step 5: Solve for x
    x = 89,557,832.25/4,077
  6. Step 6: Final answer
    x = 21,966.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.