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Finding the Third Proportional to 28,240 and 42,223

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Solution

The third proportional to 28,240 and 42,223 is: 63,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,240 : 42,223 = 42,223 : x
  2. Step 2: Convert to fraction form
    28,240/42,223 = 42,223/x
  3. Step 3: Cross multiply
    28,240x = 42,223 × 42,223
  4. Step 4: Simplify right side
    28,240x = 1,782,781,729
  5. Step 5: Solve for x
    x = 1,782,781,729/28,240
  6. Step 6: Final answer
    x = 63,129.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.