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Finding the Third Proportional to 11,653.50 and 18,177.75

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Solution

The third proportional to 11,653.50 and 18,177.75 is: 28,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.50 : 18,177.75 = 18,177.75 : x
  2. Step 2: Convert to fraction form
    11,653.50/18,177.75 = 18,177.75/x
  3. Step 3: Cross multiply
    11,653.50x = 18,177.75 × 18,177.75
  4. Step 4: Simplify right side
    11,653.50x = 330,430,595.06
  5. Step 5: Solve for x
    x = 330,430,595.06/11,653.50
  6. Step 6: Final answer
    x = 28,354.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.