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Finding the Third Proportional to 8,165.81 and 19,548.84

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Solution

The third proportional to 8,165.81 and 19,548.84 is: 46,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.81 : 19,548.84 = 19,548.84 : x
  2. Step 2: Convert to fraction form
    8,165.81/19,548.84 = 19,548.84/x
  3. Step 3: Cross multiply
    8,165.81x = 19,548.84 × 19,548.84
  4. Step 4: Simplify right side
    8,165.81x = 382,157,291.96
  5. Step 5: Solve for x
    x = 382,157,291.96/8,165.81
  6. Step 6: Final answer
    x = 46,799.67

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.