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Finding the Third Proportional to 6,929.25 and 13,220.25

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Solution

The third proportional to 6,929.25 and 13,220.25 is: 25,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.25 : 13,220.25 = 13,220.25 : x
  2. Step 2: Convert to fraction form
    6,929.25/13,220.25 = 13,220.25/x
  3. Step 3: Cross multiply
    6,929.25x = 13,220.25 × 13,220.25
  4. Step 4: Simplify right side
    6,929.25x = 174,775,010.06
  5. Step 5: Solve for x
    x = 174,775,010.06/6,929.25
  6. Step 6: Final answer
    x = 25,222.79

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.