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Finding the Third Proportional to 9,023.91 and 13,530.80

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Solution

The third proportional to 9,023.91 and 13,530.80 is: 20,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.91 : 13,530.80 = 13,530.80 : x
  2. Step 2: Convert to fraction form
    9,023.91/13,530.80 = 13,530.80/x
  3. Step 3: Cross multiply
    9,023.91x = 13,530.80 × 13,530.80
  4. Step 4: Simplify right side
    9,023.91x = 183,082,464.07
  5. Step 5: Solve for x
    x = 183,082,464.07/9,023.91
  6. Step 6: Final answer
    x = 20,288.60

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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.