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Finding the Third Proportional to 27,221.63 and 40,991.06

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Solution

The third proportional to 27,221.63 and 40,991.06 is: 61,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,221.63 : 40,991.06 = 40,991.06 : x
  2. Step 2: Convert to fraction form
    27,221.63/40,991.06 = 40,991.06/x
  3. Step 3: Cross multiply
    27,221.63x = 40,991.06 × 40,991.06
  4. Step 4: Simplify right side
    27,221.63x = 1,680,267,204.88
  5. Step 5: Solve for x
    x = 1,680,267,204.88/27,221.63
  6. Step 6: Final answer
    x = 61,725.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.