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Finding the Third Proportional to 28,514 and 66,627

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Solution

The third proportional to 28,514 and 66,627 is: 155,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514 : 66,627 = 66,627 : x
  2. Step 2: Convert to fraction form
    28,514/66,627 = 66,627/x
  3. Step 3: Cross multiply
    28,514x = 66,627 × 66,627
  4. Step 4: Simplify right side
    28,514x = 4,439,157,129
  5. Step 5: Solve for x
    x = 4,439,157,129/28,514
  6. Step 6: Final answer
    x = 155,683.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.