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Finding the Third Proportional to 23,741 and 51,289

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Solution

The third proportional to 23,741 and 51,289 is: 110,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,741 : 51,289 = 51,289 : x
  2. Step 2: Convert to fraction form
    23,741/51,289 = 51,289/x
  3. Step 3: Cross multiply
    23,741x = 51,289 × 51,289
  4. Step 4: Simplify right side
    23,741x = 2,630,561,521
  5. Step 5: Solve for x
    x = 2,630,561,521/23,741
  6. Step 6: Final answer
    x = 110,802.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.