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Finding the Third Proportional to 28,415 and 44,123

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Solution

The third proportional to 28,415 and 44,123 is: 68,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,415 : 44,123 = 44,123 : x
  2. Step 2: Convert to fraction form
    28,415/44,123 = 44,123/x
  3. Step 3: Cross multiply
    28,415x = 44,123 × 44,123
  4. Step 4: Simplify right side
    28,415x = 1,946,839,129
  5. Step 5: Solve for x
    x = 1,946,839,129/28,415
  6. Step 6: Final answer
    x = 68,514.49

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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.