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Finding the Third Proportional to 6,167.81 and 13,507.31

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Solution

The third proportional to 6,167.81 and 13,507.31 is: 29,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.81 : 13,507.31 = 13,507.31 : x
  2. Step 2: Convert to fraction form
    6,167.81/13,507.31 = 13,507.31/x
  3. Step 3: Cross multiply
    6,167.81x = 13,507.31 × 13,507.31
  4. Step 4: Simplify right side
    6,167.81x = 182,447,490.97
  5. Step 5: Solve for x
    x = 182,447,490.97/6,167.81
  6. Step 6: Final answer
    x = 29,580.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.