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Finding the Third Proportional to 19,450 and 29,407

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Solution

The third proportional to 19,450 and 29,407 is: 44,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,450 : 29,407 = 29,407 : x
  2. Step 2: Convert to fraction form
    19,450/29,407 = 29,407/x
  3. Step 3: Cross multiply
    19,450x = 29,407 × 29,407
  4. Step 4: Simplify right side
    19,450x = 864,771,649
  5. Step 5: Solve for x
    x = 864,771,649/19,450
  6. Step 6: Final answer
    x = 44,461.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.