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Finding the Third Proportional to 19,443 and 29,159

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Solution

The third proportional to 19,443 and 29,159 is: 43,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,443 : 29,159 = 29,159 : x
  2. Step 2: Convert to fraction form
    19,443/29,159 = 29,159/x
  3. Step 3: Cross multiply
    19,443x = 29,159 × 29,159
  4. Step 4: Simplify right side
    19,443x = 850,247,281
  5. Step 5: Solve for x
    x = 850,247,281/19,443
  6. Step 6: Final answer
    x = 43,730.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.