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Finding the Third Proportional to 13,798 and 29,240

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Solution

The third proportional to 13,798 and 29,240 is: 61,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798 : 29,240 = 29,240 : x
  2. Step 2: Convert to fraction form
    13,798/29,240 = 29,240/x
  3. Step 3: Cross multiply
    13,798x = 29,240 × 29,240
  4. Step 4: Simplify right side
    13,798x = 854,977,600
  5. Step 5: Solve for x
    x = 854,977,600/13,798
  6. Step 6: Final answer
    x = 61,963.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.