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Finding the Third Proportional to 27,002.63 and 55,732.13

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Solution

The third proportional to 27,002.63 and 55,732.13 is: 115,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.63 : 55,732.13 = 55,732.13 : x
  2. Step 2: Convert to fraction form
    27,002.63/55,732.13 = 55,732.13/x
  3. Step 3: Cross multiply
    27,002.63x = 55,732.13 × 55,732.13
  4. Step 4: Simplify right side
    27,002.63x = 3,106,069,757.02
  5. Step 5: Solve for x
    x = 3,106,069,757.02/27,002.63
  6. Step 6: Final answer
    x = 115,028.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.