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Finding the Third Proportional to 14,798 and 23,619

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Solution

The third proportional to 14,798 and 23,619 is: 37,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,798 : 23,619 = 23,619 : x
  2. Step 2: Convert to fraction form
    14,798/23,619 = 23,619/x
  3. Step 3: Cross multiply
    14,798x = 23,619 × 23,619
  4. Step 4: Simplify right side
    14,798x = 557,857,161
  5. Step 5: Solve for x
    x = 557,857,161/14,798
  6. Step 6: Final answer
    x = 37,698.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.