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Finding the Third Proportional to 27,189 and 50,422.50

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Solution

The third proportional to 27,189 and 50,422.50 is: 93,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189 : 50,422.50 = 50,422.50 : x
  2. Step 2: Convert to fraction form
    27,189/50,422.50 = 50,422.50/x
  3. Step 3: Cross multiply
    27,189x = 50,422.50 × 50,422.50
  4. Step 4: Simplify right side
    27,189x = 2,542,428,506.25
  5. Step 5: Solve for x
    x = 2,542,428,506.25/27,189
  6. Step 6: Final answer
    x = 93,509.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.