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Finding the Third Proportional to 13,100 and 28,627

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Solution

The third proportional to 13,100 and 28,627 is: 62,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100 : 28,627 = 28,627 : x
  2. Step 2: Convert to fraction form
    13,100/28,627 = 28,627/x
  3. Step 3: Cross multiply
    13,100x = 28,627 × 28,627
  4. Step 4: Simplify right side
    13,100x = 819,505,129
  5. Step 5: Solve for x
    x = 819,505,129/13,100
  6. Step 6: Final answer
    x = 62,557.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.