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Finding the Third Proportional to 12,798 and 13,998

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Solution

The third proportional to 12,798 and 13,998 is: 15,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798 : 13,998 = 13,998 : x
  2. Step 2: Convert to fraction form
    12,798/13,998 = 13,998/x
  3. Step 3: Cross multiply
    12,798x = 13,998 × 13,998
  4. Step 4: Simplify right side
    12,798x = 195,944,004
  5. Step 5: Solve for x
    x = 195,944,004/12,798
  6. Step 6: Final answer
    x = 15,310.52

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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.