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Finding the Third Proportional to 13,824 and 18,184.50

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Solution

The third proportional to 13,824 and 18,184.50 is: 23,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824 : 18,184.50 = 18,184.50 : x
  2. Step 2: Convert to fraction form
    13,824/18,184.50 = 18,184.50/x
  3. Step 3: Cross multiply
    13,824x = 18,184.50 × 18,184.50
  4. Step 4: Simplify right side
    13,824x = 330,676,040.25
  5. Step 5: Solve for x
    x = 330,676,040.25/13,824
  6. Step 6: Final answer
    x = 23,920.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.