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Finding the Third Proportional to 8,769 and 18,783.19

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Solution

The third proportional to 8,769 and 18,783.19 is: 40,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769 : 18,783.19 = 18,783.19 : x
  2. Step 2: Convert to fraction form
    8,769/18,783.19 = 18,783.19/x
  3. Step 3: Cross multiply
    8,769x = 18,783.19 × 18,783.19
  4. Step 4: Simplify right side
    8,769x = 352,808,132.66
  5. Step 5: Solve for x
    x = 352,808,132.66/8,769
  6. Step 6: Final answer
    x = 40,233.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.