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Finding the Third Proportional to 11,080.97 and 23,718.66

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Solution

The third proportional to 11,080.97 and 23,718.66 is: 50,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,080.97 : 23,718.66 = 23,718.66 : x
  2. Step 2: Convert to fraction form
    11,080.97/23,718.66 = 23,718.66/x
  3. Step 3: Cross multiply
    11,080.97x = 23,718.66 × 23,718.66
  4. Step 4: Simplify right side
    11,080.97x = 562,574,654.31
  5. Step 5: Solve for x
    x = 562,574,654.31/11,080.97
  6. Step 6: Final answer
    x = 50,769.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.