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Finding the Third Proportional to 9,484.59 and 13,653.56

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Solution

The third proportional to 9,484.59 and 13,653.56 is: 19,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.59 : 13,653.56 = 13,653.56 : x
  2. Step 2: Convert to fraction form
    9,484.59/13,653.56 = 13,653.56/x
  3. Step 3: Cross multiply
    9,484.59x = 13,653.56 × 13,653.56
  4. Step 4: Simplify right side
    9,484.59x = 186,419,768.94
  5. Step 5: Solve for x
    x = 186,419,768.94/9,484.59
  6. Step 6: Final answer
    x = 19,655.01

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.