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Finding the Third Proportional to 3,166.13 and 6,929.25

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Solution

The third proportional to 3,166.13 and 6,929.25 is: 15,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.13 : 6,929.25 = 6,929.25 : x
  2. Step 2: Convert to fraction form
    3,166.13/6,929.25 = 6,929.25/x
  3. Step 3: Cross multiply
    3,166.13x = 6,929.25 × 6,929.25
  4. Step 4: Simplify right side
    3,166.13x = 48,014,505.56
  5. Step 5: Solve for x
    x = 48,014,505.56/3,166.13
  6. Step 6: Final answer
    x = 15,165.07

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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.