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Finding the Third Proportional to 27,300 and 59,208

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Solution

The third proportional to 27,300 and 59,208 is: 128,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300 : 59,208 = 59,208 : x
  2. Step 2: Convert to fraction form
    27,300/59,208 = 59,208/x
  3. Step 3: Cross multiply
    27,300x = 59,208 × 59,208
  4. Step 4: Simplify right side
    27,300x = 3,505,587,264
  5. Step 5: Solve for x
    x = 3,505,587,264/27,300
  6. Step 6: Final answer
    x = 128,409.79

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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.