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Finding the Third Proportional to 13,078.13 and 27,077.63

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Solution

The third proportional to 13,078.13 and 27,077.63 is: 56,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.13 : 27,077.63 = 27,077.63 : x
  2. Step 2: Convert to fraction form
    13,078.13/27,077.63 = 27,077.63/x
  3. Step 3: Cross multiply
    13,078.13x = 27,077.63 × 27,077.63
  4. Step 4: Simplify right side
    13,078.13x = 733,197,775.64
  5. Step 5: Solve for x
    x = 733,197,775.64/13,078.13
  6. Step 6: Final answer
    x = 56,062.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.