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Finding the Third Proportional to 3,036.50 and 6,640.50

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Solution

The third proportional to 3,036.50 and 6,640.50 is: 14,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.50 : 6,640.50 = 6,640.50 : x
  2. Step 2: Convert to fraction form
    3,036.50/6,640.50 = 6,640.50/x
  3. Step 3: Cross multiply
    3,036.50x = 6,640.50 × 6,640.50
  4. Step 4: Simplify right side
    3,036.50x = 44,096,240.25
  5. Step 5: Solve for x
    x = 44,096,240.25/3,036.50
  6. Step 6: Final answer
    x = 14,522.06

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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.