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Finding the Third Proportional to 12,682.04 and 27,410.12

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Solution

The third proportional to 12,682.04 and 27,410.12 is: 59,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.04 : 27,410.12 = 27,410.12 : x
  2. Step 2: Convert to fraction form
    12,682.04/27,410.12 = 27,410.12/x
  3. Step 3: Cross multiply
    12,682.04x = 27,410.12 × 27,410.12
  4. Step 4: Simplify right side
    12,682.04x = 751,314,417.16
  5. Step 5: Solve for x
    x = 751,314,417.16/12,682.04
  6. Step 6: Final answer
    x = 59,242.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.