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Finding the Third Proportional to 9,103.64 and 13,656.09

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Solution

The third proportional to 9,103.64 and 13,656.09 is: 20,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.64 : 13,656.09 = 13,656.09 : x
  2. Step 2: Convert to fraction form
    9,103.64/13,656.09 = 13,656.09/x
  3. Step 3: Cross multiply
    9,103.64x = 13,656.09 × 13,656.09
  4. Step 4: Simplify right side
    9,103.64x = 186,488,896.51
  5. Step 5: Solve for x
    x = 186,488,896.51/9,103.64
  6. Step 6: Final answer
    x = 20,485.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.