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Finding the Third Proportional to 28,414 and 44,573.50

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Solution

The third proportional to 28,414 and 44,573.50 is: 69,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,414 : 44,573.50 = 44,573.50 : x
  2. Step 2: Convert to fraction form
    28,414/44,573.50 = 44,573.50/x
  3. Step 3: Cross multiply
    28,414x = 44,573.50 × 44,573.50
  4. Step 4: Simplify right side
    28,414x = 1,986,796,902.25
  5. Step 5: Solve for x
    x = 1,986,796,902.25/28,414
  6. Step 6: Final answer
    x = 69,923.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.