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Finding the Third Proportional to 27,896 and 60,418

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Solution

The third proportional to 27,896 and 60,418 is: 130,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,896 : 60,418 = 60,418 : x
  2. Step 2: Convert to fraction form
    27,896/60,418 = 60,418/x
  3. Step 3: Cross multiply
    27,896x = 60,418 × 60,418
  4. Step 4: Simplify right side
    27,896x = 3,650,334,724
  5. Step 5: Solve for x
    x = 3,650,334,724/27,896
  6. Step 6: Final answer
    x = 130,855.13

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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.