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Finding the Third Proportional to 27,106 and 43,169

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Solution

The third proportional to 27,106 and 43,169 is: 68,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106 : 43,169 = 43,169 : x
  2. Step 2: Convert to fraction form
    27,106/43,169 = 43,169/x
  3. Step 3: Cross multiply
    27,106x = 43,169 × 43,169
  4. Step 4: Simplify right side
    27,106x = 1,863,562,561
  5. Step 5: Solve for x
    x = 1,863,562,561/27,106
  6. Step 6: Final answer
    x = 68,750.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.