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Finding the Third Proportional to 23,798 and 51,574

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Solution

The third proportional to 23,798 and 51,574 is: 111,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798 : 51,574 = 51,574 : x
  2. Step 2: Convert to fraction form
    23,798/51,574 = 51,574/x
  3. Step 3: Cross multiply
    23,798x = 51,574 × 51,574
  4. Step 4: Simplify right side
    23,798x = 2,659,877,476
  5. Step 5: Solve for x
    x = 2,659,877,476/23,798
  6. Step 6: Final answer
    x = 111,768.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.