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Finding the Third Proportional to 27,120.38 and 56,290.50

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Solution

The third proportional to 27,120.38 and 56,290.50 is: 116,835.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120.38 : 56,290.50 = 56,290.50 : x
  2. Step 2: Convert to fraction form
    27,120.38/56,290.50 = 56,290.50/x
  3. Step 3: Cross multiply
    27,120.38x = 56,290.50 × 56,290.50
  4. Step 4: Simplify right side
    27,120.38x = 3,168,620,390.25
  5. Step 5: Solve for x
    x = 3,168,620,390.25/27,120.38
  6. Step 6: Final answer
    x = 116,835.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.