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Finding the Third Proportional to 27,027 and 55,201.50

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Solution

The third proportional to 27,027 and 55,201.50 is: 112,746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027 : 55,201.50 = 55,201.50 : x
  2. Step 2: Convert to fraction form
    27,027/55,201.50 = 55,201.50/x
  3. Step 3: Cross multiply
    27,027x = 55,201.50 × 55,201.50
  4. Step 4: Simplify right side
    27,027x = 3,047,205,602.25
  5. Step 5: Solve for x
    x = 3,047,205,602.25/27,027
  6. Step 6: Final answer
    x = 112,746.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.