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Finding the Third Proportional to 18,046.75 and 27,774.50

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Solution

The third proportional to 18,046.75 and 27,774.50 is: 42,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046.75 : 27,774.50 = 27,774.50 : x
  2. Step 2: Convert to fraction form
    18,046.75/27,774.50 = 27,774.50/x
  3. Step 3: Cross multiply
    18,046.75x = 27,774.50 × 27,774.50
  4. Step 4: Simplify right side
    18,046.75x = 771,422,850.25
  5. Step 5: Solve for x
    x = 771,422,850.25/18,046.75
  6. Step 6: Final answer
    x = 42,745.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.