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Finding the Third Proportional to 27,419 and 59,856.75

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Solution

The third proportional to 27,419 and 59,856.75 is: 130,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419 : 59,856.75 = 59,856.75 : x
  2. Step 2: Convert to fraction form
    27,419/59,856.75 = 59,856.75/x
  3. Step 3: Cross multiply
    27,419x = 59,856.75 × 59,856.75
  4. Step 4: Simplify right side
    27,419x = 3,582,830,520.56
  5. Step 5: Solve for x
    x = 3,582,830,520.56/27,419
  6. Step 6: Final answer
    x = 130,669.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.