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Finding the Third Proportional to 44,024 and 89,580

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Solution

The third proportional to 44,024 and 89,580 is: 182,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,024 : 89,580 = 89,580 : x
  2. Step 2: Convert to fraction form
    44,024/89,580 = 89,580/x
  3. Step 3: Cross multiply
    44,024x = 89,580 × 89,580
  4. Step 4: Simplify right side
    44,024x = 8,024,576,400
  5. Step 5: Solve for x
    x = 8,024,576,400/44,024
  6. Step 6: Final answer
    x = 182,277.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.