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Finding the Third Proportional to 5,798 and 13,351

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Solution

The third proportional to 5,798 and 13,351 is: 30,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 13,351 = 13,351 : x
  2. Step 2: Convert to fraction form
    5,798/13,351 = 13,351/x
  3. Step 3: Cross multiply
    5,798x = 13,351 × 13,351
  4. Step 4: Simplify right side
    5,798x = 178,249,201
  5. Step 5: Solve for x
    x = 178,249,201/5,798
  6. Step 6: Final answer
    x = 30,743.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.