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Finding the Third Proportional to 19,125 and 39,627

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Solution

The third proportional to 19,125 and 39,627 is: 82,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,125 : 39,627 = 39,627 : x
  2. Step 2: Convert to fraction form
    19,125/39,627 = 39,627/x
  3. Step 3: Cross multiply
    19,125x = 39,627 × 39,627
  4. Step 4: Simplify right side
    19,125x = 1,570,299,129
  5. Step 5: Solve for x
    x = 1,570,299,129/19,125
  6. Step 6: Final answer
    x = 82,107.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.