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Finding the Third Proportional to 27,772 and 44,420

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Solution

The third proportional to 27,772 and 44,420 is: 71,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 44,420 = 44,420 : x
  2. Step 2: Convert to fraction form
    27,772/44,420 = 44,420/x
  3. Step 3: Cross multiply
    27,772x = 44,420 × 44,420
  4. Step 4: Simplify right side
    27,772x = 1,973,136,400
  5. Step 5: Solve for x
    x = 1,973,136,400/27,772
  6. Step 6: Final answer
    x = 71,047.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.