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Finding the Third Proportional to 3,077.25 and 6,730.50

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Solution

The third proportional to 3,077.25 and 6,730.50 is: 14,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.25 : 6,730.50 = 6,730.50 : x
  2. Step 2: Convert to fraction form
    3,077.25/6,730.50 = 6,730.50/x
  3. Step 3: Cross multiply
    3,077.25x = 6,730.50 × 6,730.50
  4. Step 4: Simplify right side
    3,077.25x = 45,299,630.25
  5. Step 5: Solve for x
    x = 45,299,630.25/3,077.25
  6. Step 6: Final answer
    x = 14,720.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.