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Finding the Third Proportional to 27,822 and 60,362

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Solution

The third proportional to 27,822 and 60,362 is: 130,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822 : 60,362 = 60,362 : x
  2. Step 2: Convert to fraction form
    27,822/60,362 = 60,362/x
  3. Step 3: Cross multiply
    27,822x = 60,362 × 60,362
  4. Step 4: Simplify right side
    27,822x = 3,643,571,044
  5. Step 5: Solve for x
    x = 3,643,571,044/27,822
  6. Step 6: Final answer
    x = 130,960.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.