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Finding the Third Proportional to 6,739 and 14,623.31

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Solution

The third proportional to 6,739 and 14,623.31 is: 31,731.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739 : 14,623.31 = 14,623.31 : x
  2. Step 2: Convert to fraction form
    6,739/14,623.31 = 14,623.31/x
  3. Step 3: Cross multiply
    6,739x = 14,623.31 × 14,623.31
  4. Step 4: Simplify right side
    6,739x = 213,841,268.47
  5. Step 5: Solve for x
    x = 213,841,268.47/6,739
  6. Step 6: Final answer
    x = 31,731.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.