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Finding the Third Proportional to 11,709.56 and 18,895.78

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Solution

The third proportional to 11,709.56 and 18,895.78 is: 30,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.56 : 18,895.78 = 18,895.78 : x
  2. Step 2: Convert to fraction form
    11,709.56/18,895.78 = 18,895.78/x
  3. Step 3: Cross multiply
    11,709.56x = 18,895.78 × 18,895.78
  4. Step 4: Simplify right side
    11,709.56x = 357,050,549.05
  5. Step 5: Solve for x
    x = 357,050,549.05/11,709.56
  6. Step 6: Final answer
    x = 30,492.22

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.