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Finding the Third Proportional to 27,461 and 43,136

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Solution

The third proportional to 27,461 and 43,136 is: 67,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461 : 43,136 = 43,136 : x
  2. Step 2: Convert to fraction form
    27,461/43,136 = 43,136/x
  3. Step 3: Cross multiply
    27,461x = 43,136 × 43,136
  4. Step 4: Simplify right side
    27,461x = 1,860,714,496
  5. Step 5: Solve for x
    x = 1,860,714,496/27,461
  6. Step 6: Final answer
    x = 67,758.44

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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.