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Finding the Third Proportional to 3,077 and 4,606.50

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Solution

The third proportional to 3,077 and 4,606.50 is: 6,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077 : 4,606.50 = 4,606.50 : x
  2. Step 2: Convert to fraction form
    3,077/4,606.50 = 4,606.50/x
  3. Step 3: Cross multiply
    3,077x = 4,606.50 × 4,606.50
  4. Step 4: Simplify right side
    3,077x = 21,219,842.25
  5. Step 5: Solve for x
    x = 21,219,842.25/3,077
  6. Step 6: Final answer
    x = 6,896.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.