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Finding the Third Proportional to 12,741 and 27,122.25

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Solution

The third proportional to 12,741 and 27,122.25 is: 57,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741 : 27,122.25 = 27,122.25 : x
  2. Step 2: Convert to fraction form
    12,741/27,122.25 = 27,122.25/x
  3. Step 3: Cross multiply
    12,741x = 27,122.25 × 27,122.25
  4. Step 4: Simplify right side
    12,741x = 735,616,445.06
  5. Step 5: Solve for x
    x = 735,616,445.06/12,741
  6. Step 6: Final answer
    x = 57,736.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.