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Finding the Third Proportional to 27,743.63 and 60,677.44

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Solution

The third proportional to 27,743.63 and 60,677.44 is: 132,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,743.63 : 60,677.44 = 60,677.44 : x
  2. Step 2: Convert to fraction form
    27,743.63/60,677.44 = 60,677.44/x
  3. Step 3: Cross multiply
    27,743.63x = 60,677.44 × 60,677.44
  4. Step 4: Simplify right side
    27,743.63x = 3,681,751,421.57
  5. Step 5: Solve for x
    x = 3,681,751,421.57/27,743.63
  6. Step 6: Final answer
    x = 132,706.21

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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.