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Finding the Third Proportional to 9,662.06 and 13,779.84

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Solution

The third proportional to 9,662.06 and 13,779.84 is: 19,652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.06 : 13,779.84 = 13,779.84 : x
  2. Step 2: Convert to fraction form
    9,662.06/13,779.84 = 13,779.84/x
  3. Step 3: Cross multiply
    9,662.06x = 13,779.84 × 13,779.84
  4. Step 4: Simplify right side
    9,662.06x = 189,884,093.77
  5. Step 5: Solve for x
    x = 189,884,093.77/9,662.06
  6. Step 6: Final answer
    x = 19,652.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.