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Finding the Third Proportional to 9,485.90 and 13,882.86

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Solution

The third proportional to 9,485.90 and 13,882.86 is: 20,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.90 : 13,882.86 = 13,882.86 : x
  2. Step 2: Convert to fraction form
    9,485.90/13,882.86 = 13,882.86/x
  3. Step 3: Cross multiply
    9,485.90x = 13,882.86 × 13,882.86
  4. Step 4: Simplify right side
    9,485.90x = 192,733,750.53
  5. Step 5: Solve for x
    x = 192,733,750.53/9,485.90
  6. Step 6: Final answer
    x = 20,317.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.