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Finding the Third Proportional to 11,675.81 and 16,783.88

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Solution

The third proportional to 11,675.81 and 16,783.88 is: 24,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.81 : 16,783.88 = 16,783.88 : x
  2. Step 2: Convert to fraction form
    11,675.81/16,783.88 = 16,783.88/x
  3. Step 3: Cross multiply
    11,675.81x = 16,783.88 × 16,783.88
  4. Step 4: Simplify right side
    11,675.81x = 281,698,460.02
  5. Step 5: Solve for x
    x = 281,698,460.02/11,675.81
  6. Step 6: Final answer
    x = 24,126.67

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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.