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Finding the Third Proportional to 27,216 and 57,648

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Solution

The third proportional to 27,216 and 57,648 is: 122,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 57,648 = 57,648 : x
  2. Step 2: Convert to fraction form
    27,216/57,648 = 57,648/x
  3. Step 3: Cross multiply
    27,216x = 57,648 × 57,648
  4. Step 4: Simplify right side
    27,216x = 3,323,291,904
  5. Step 5: Solve for x
    x = 3,323,291,904/27,216
  6. Step 6: Final answer
    x = 122,108.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.