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Finding the Third Proportional to 18,214.50 and 27,220.50

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Solution

The third proportional to 18,214.50 and 27,220.50 is: 40,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.50 : 27,220.50 = 27,220.50 : x
  2. Step 2: Convert to fraction form
    18,214.50/27,220.50 = 27,220.50/x
  3. Step 3: Cross multiply
    18,214.50x = 27,220.50 × 27,220.50
  4. Step 4: Simplify right side
    18,214.50x = 740,955,620.25
  5. Step 5: Solve for x
    x = 740,955,620.25/18,214.50
  6. Step 6: Final answer
    x = 40,679.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.