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Finding the Third Proportional to 27,454 and 59,943

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Solution

The third proportional to 27,454 and 59,943 is: 130,879.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454 : 59,943 = 59,943 : x
  2. Step 2: Convert to fraction form
    27,454/59,943 = 59,943/x
  3. Step 3: Cross multiply
    27,454x = 59,943 × 59,943
  4. Step 4: Simplify right side
    27,454x = 3,593,163,249
  5. Step 5: Solve for x
    x = 3,593,163,249/27,454
  6. Step 6: Final answer
    x = 130,879.41

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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.