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Finding the Third Proportional to 19,421 and 29,404.50

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Solution

The third proportional to 19,421 and 29,404.50 is: 44,520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,421 : 29,404.50 = 29,404.50 : x
  2. Step 2: Convert to fraction form
    19,421/29,404.50 = 29,404.50/x
  3. Step 3: Cross multiply
    19,421x = 29,404.50 × 29,404.50
  4. Step 4: Simplify right side
    19,421x = 864,624,620.25
  5. Step 5: Solve for x
    x = 864,624,620.25/19,421
  6. Step 6: Final answer
    x = 44,520.09

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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.