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Finding the Third Proportional to 18,814.50 and 24,976.50

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Solution

The third proportional to 18,814.50 and 24,976.50 is: 33,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,814.50 : 24,976.50 = 24,976.50 : x
  2. Step 2: Convert to fraction form
    18,814.50/24,976.50 = 24,976.50/x
  3. Step 3: Cross multiply
    18,814.50x = 24,976.50 × 24,976.50
  4. Step 4: Simplify right side
    18,814.50x = 623,825,552.25
  5. Step 5: Solve for x
    x = 623,825,552.25/18,814.50
  6. Step 6: Final answer
    x = 33,156.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.