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Finding the Third Proportional to 12,636 and 27,362.25

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Solution

The third proportional to 12,636 and 27,362.25 is: 59,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636 : 27,362.25 = 27,362.25 : x
  2. Step 2: Convert to fraction form
    12,636/27,362.25 = 27,362.25/x
  3. Step 3: Cross multiply
    12,636x = 27,362.25 × 27,362.25
  4. Step 4: Simplify right side
    12,636x = 748,692,725.06
  5. Step 5: Solve for x
    x = 748,692,725.06/12,636
  6. Step 6: Final answer
    x = 59,250.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.