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Finding the Third Proportional to 23,049 and 36,179.25

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Solution

The third proportional to 23,049 and 36,179.25 is: 56,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049 : 36,179.25 = 36,179.25 : x
  2. Step 2: Convert to fraction form
    23,049/36,179.25 = 36,179.25/x
  3. Step 3: Cross multiply
    23,049x = 36,179.25 × 36,179.25
  4. Step 4: Simplify right side
    23,049x = 1,308,938,130.56
  5. Step 5: Solve for x
    x = 1,308,938,130.56/23,049
  6. Step 6: Final answer
    x = 56,789.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.