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Finding the Third Proportional to 9,014.63 and 13,579.31

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Solution

The third proportional to 9,014.63 and 13,579.31 is: 20,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.63 : 13,579.31 = 13,579.31 : x
  2. Step 2: Convert to fraction form
    9,014.63/13,579.31 = 13,579.31/x
  3. Step 3: Cross multiply
    9,014.63x = 13,579.31 × 13,579.31
  4. Step 4: Simplify right side
    9,014.63x = 184,397,727.97
  5. Step 5: Solve for x
    x = 184,397,727.97/9,014.63
  6. Step 6: Final answer
    x = 20,455.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.