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Finding the Third Proportional to 6,951 and 13,555.50

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Solution

The third proportional to 6,951 and 13,555.50 is: 26,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951 : 13,555.50 = 13,555.50 : x
  2. Step 2: Convert to fraction form
    6,951/13,555.50 = 13,555.50/x
  3. Step 3: Cross multiply
    6,951x = 13,555.50 × 13,555.50
  4. Step 4: Simplify right side
    6,951x = 183,751,580.25
  5. Step 5: Solve for x
    x = 183,751,580.25/6,951
  6. Step 6: Final answer
    x = 26,435.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.