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Finding the Third Proportional to 7,712.25 and 16,939.88

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Solution

The third proportional to 7,712.25 and 16,939.88 is: 37,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.25 : 16,939.88 = 16,939.88 : x
  2. Step 2: Convert to fraction form
    7,712.25/16,939.88 = 16,939.88/x
  3. Step 3: Cross multiply
    7,712.25x = 16,939.88 × 16,939.88
  4. Step 4: Simplify right side
    7,712.25x = 286,959,365.02
  5. Step 5: Solve for x
    x = 286,959,365.02/7,712.25
  6. Step 6: Final answer
    x = 37,208.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.