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Finding the Third Proportional to 19,698 and 29,259

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Solution

The third proportional to 19,698 and 29,259 is: 43,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698 : 29,259 = 29,259 : x
  2. Step 2: Convert to fraction form
    19,698/29,259 = 29,259/x
  3. Step 3: Cross multiply
    19,698x = 29,259 × 29,259
  4. Step 4: Simplify right side
    19,698x = 856,089,081
  5. Step 5: Solve for x
    x = 856,089,081/19,698
  6. Step 6: Final answer
    x = 43,460.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.