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Finding the Third Proportional to 6,929.25 and 16,705.88

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Solution

The third proportional to 6,929.25 and 16,705.88 is: 40,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.25 : 16,705.88 = 16,705.88 : x
  2. Step 2: Convert to fraction form
    6,929.25/16,705.88 = 16,705.88/x
  3. Step 3: Cross multiply
    6,929.25x = 16,705.88 × 16,705.88
  4. Step 4: Simplify right side
    6,929.25x = 279,086,259.52
  5. Step 5: Solve for x
    x = 279,086,259.52/6,929.25
  6. Step 6: Final answer
    x = 40,276.55

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.