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Finding the Third Proportional to 6,686.06 and 10,347.31

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Solution

The third proportional to 6,686.06 and 10,347.31 is: 16,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.06 : 10,347.31 = 10,347.31 : x
  2. Step 2: Convert to fraction form
    6,686.06/10,347.31 = 10,347.31/x
  3. Step 3: Cross multiply
    6,686.06x = 10,347.31 × 10,347.31
  4. Step 4: Simplify right side
    6,686.06x = 107,066,926.50
  5. Step 5: Solve for x
    x = 107,066,926.50/6,686.06
  6. Step 6: Final answer
    x = 16,013.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.