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Finding the Third Proportional to 27,945 and 44,401.50

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Solution

The third proportional to 27,945 and 44,401.50 is: 70,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 44,401.50 = 44,401.50 : x
  2. Step 2: Convert to fraction form
    27,945/44,401.50 = 44,401.50/x
  3. Step 3: Cross multiply
    27,945x = 44,401.50 × 44,401.50
  4. Step 4: Simplify right side
    27,945x = 1,971,493,202.25
  5. Step 5: Solve for x
    x = 1,971,493,202.25/27,945
  6. Step 6: Final answer
    x = 70,549.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.