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Finding the Third Proportional to 5,398 and 13,129

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Solution

The third proportional to 5,398 and 13,129 is: 31,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398 : 13,129 = 13,129 : x
  2. Step 2: Convert to fraction form
    5,398/13,129 = 13,129/x
  3. Step 3: Cross multiply
    5,398x = 13,129 × 13,129
  4. Step 4: Simplify right side
    5,398x = 172,370,641
  5. Step 5: Solve for x
    x = 172,370,641/5,398
  6. Step 6: Final answer
    x = 31,932.32

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.