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Finding the Third Proportional to 23,011 and 49,343

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Solution

The third proportional to 23,011 and 49,343 is: 105,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011 : 49,343 = 49,343 : x
  2. Step 2: Convert to fraction form
    23,011/49,343 = 49,343/x
  3. Step 3: Cross multiply
    23,011x = 49,343 × 49,343
  4. Step 4: Simplify right side
    23,011x = 2,434,731,649
  5. Step 5: Solve for x
    x = 2,434,731,649/23,011
  6. Step 6: Final answer
    x = 105,807.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.