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Finding the Third Proportional to 27,463 and 59,960

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Solution

The third proportional to 27,463 and 59,960 is: 130,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,463 : 59,960 = 59,960 : x
  2. Step 2: Convert to fraction form
    27,463/59,960 = 59,960/x
  3. Step 3: Cross multiply
    27,463x = 59,960 × 59,960
  4. Step 4: Simplify right side
    27,463x = 3,595,201,600
  5. Step 5: Solve for x
    x = 3,595,201,600/27,463
  6. Step 6: Final answer
    x = 130,910.74

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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.