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Finding the Third Proportional to 27,522 and 60,318

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Solution

The third proportional to 27,522 and 60,318 is: 132,194.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522 : 60,318 = 60,318 : x
  2. Step 2: Convert to fraction form
    27,522/60,318 = 60,318/x
  3. Step 3: Cross multiply
    27,522x = 60,318 × 60,318
  4. Step 4: Simplify right side
    27,522x = 3,638,261,124
  5. Step 5: Solve for x
    x = 3,638,261,124/27,522
  6. Step 6: Final answer
    x = 132,194.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.