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Finding the Third Proportional to 27,075 and 41,842

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Solution

The third proportional to 27,075 and 41,842 is: 64,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,075 : 41,842 = 41,842 : x
  2. Step 2: Convert to fraction form
    27,075/41,842 = 41,842/x
  3. Step 3: Cross multiply
    27,075x = 41,842 × 41,842
  4. Step 4: Simplify right side
    27,075x = 1,750,752,964
  5. Step 5: Solve for x
    x = 1,750,752,964/27,075
  6. Step 6: Final answer
    x = 64,663.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.