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Finding the Third Proportional to 6,623 and 16,455.50

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Solution

The third proportional to 6,623 and 16,455.50 is: 40,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623 : 16,455.50 = 16,455.50 : x
  2. Step 2: Convert to fraction form
    6,623/16,455.50 = 16,455.50/x
  3. Step 3: Cross multiply
    6,623x = 16,455.50 × 16,455.50
  4. Step 4: Simplify right side
    6,623x = 270,783,480.25
  5. Step 5: Solve for x
    x = 270,783,480.25/6,623
  6. Step 6: Final answer
    x = 40,885.32

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.