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Finding the Third Proportional to 8,783.44 and 14,466.09

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Solution

The third proportional to 8,783.44 and 14,466.09 is: 23,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.44 : 14,466.09 = 14,466.09 : x
  2. Step 2: Convert to fraction form
    8,783.44/14,466.09 = 14,466.09/x
  3. Step 3: Cross multiply
    8,783.44x = 14,466.09 × 14,466.09
  4. Step 4: Simplify right side
    8,783.44x = 209,267,868.38
  5. Step 5: Solve for x
    x = 209,267,868.38/8,783.44
  6. Step 6: Final answer
    x = 23,825.28

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.