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Finding the Third Proportional to 27,466 and 41,200

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Solution

The third proportional to 27,466 and 41,200 is: 61,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466 : 41,200 = 41,200 : x
  2. Step 2: Convert to fraction form
    27,466/41,200 = 41,200/x
  3. Step 3: Cross multiply
    27,466x = 41,200 × 41,200
  4. Step 4: Simplify right side
    27,466x = 1,697,440,000
  5. Step 5: Solve for x
    x = 1,697,440,000/27,466
  6. Step 6: Final answer
    x = 61,801.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.