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Finding the Third Proportional to 18,128.50 and 28,015

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Solution

The third proportional to 18,128.50 and 28,015 is: 43,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,128.50 : 28,015 = 28,015 : x
  2. Step 2: Convert to fraction form
    18,128.50/28,015 = 28,015/x
  3. Step 3: Cross multiply
    18,128.50x = 28,015 × 28,015
  4. Step 4: Simplify right side
    18,128.50x = 784,840,225
  5. Step 5: Solve for x
    x = 784,840,225/18,128.50
  6. Step 6: Final answer
    x = 43,293.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.