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Finding the Third Proportional to 27,106 and 49,712

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Solution

The third proportional to 27,106 and 49,712 is: 91,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106 : 49,712 = 49,712 : x
  2. Step 2: Convert to fraction form
    27,106/49,712 = 49,712/x
  3. Step 3: Cross multiply
    27,106x = 49,712 × 49,712
  4. Step 4: Simplify right side
    27,106x = 2,471,282,944
  5. Step 5: Solve for x
    x = 2,471,282,944/27,106
  6. Step 6: Final answer
    x = 91,171.07

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.