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Finding the Third Proportional to 6,703.88 and 14,331.38

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Solution

The third proportional to 6,703.88 and 14,331.38 is: 30,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.88 : 14,331.38 = 14,331.38 : x
  2. Step 2: Convert to fraction form
    6,703.88/14,331.38 = 14,331.38/x
  3. Step 3: Cross multiply
    6,703.88x = 14,331.38 × 14,331.38
  4. Step 4: Simplify right side
    6,703.88x = 205,388,309.39
  5. Step 5: Solve for x
    x = 205,388,309.39/6,703.88
  6. Step 6: Final answer
    x = 30,637.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.