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Finding the Third Proportional to 11,686.78 and 15,662.11

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Solution

The third proportional to 11,686.78 and 15,662.11 is: 20,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.78 : 15,662.11 = 15,662.11 : x
  2. Step 2: Convert to fraction form
    11,686.78/15,662.11 = 15,662.11/x
  3. Step 3: Cross multiply
    11,686.78x = 15,662.11 × 15,662.11
  4. Step 4: Simplify right side
    11,686.78x = 245,301,670.07
  5. Step 5: Solve for x
    x = 245,301,670.07/11,686.78
  6. Step 6: Final answer
    x = 20,989.67

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.