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Finding the Third Proportional to 27,216 and 29,648

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Solution

The third proportional to 27,216 and 29,648 is: 32,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 29,648 = 29,648 : x
  2. Step 2: Convert to fraction form
    27,216/29,648 = 29,648/x
  3. Step 3: Cross multiply
    27,216x = 29,648 × 29,648
  4. Step 4: Simplify right side
    27,216x = 879,003,904
  5. Step 5: Solve for x
    x = 879,003,904/27,216
  6. Step 6: Final answer
    x = 32,297.32

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.