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Finding the Third Proportional to 8,798 and 13,826

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Solution

The third proportional to 8,798 and 13,826 is: 21,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,798 : 13,826 = 13,826 : x
  2. Step 2: Convert to fraction form
    8,798/13,826 = 13,826/x
  3. Step 3: Cross multiply
    8,798x = 13,826 × 13,826
  4. Step 4: Simplify right side
    8,798x = 191,158,276
  5. Step 5: Solve for x
    x = 191,158,276/8,798
  6. Step 6: Final answer
    x = 21,727.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.