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Finding the Third Proportional to 27,994 and 61,124

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Solution

The third proportional to 27,994 and 61,124 is: 133,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994 : 61,124 = 61,124 : x
  2. Step 2: Convert to fraction form
    27,994/61,124 = 61,124/x
  3. Step 3: Cross multiply
    27,994x = 61,124 × 61,124
  4. Step 4: Simplify right side
    27,994x = 3,736,143,376
  5. Step 5: Solve for x
    x = 3,736,143,376/27,994
  6. Step 6: Final answer
    x = 133,462.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.