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Finding the Third Proportional to 20,004 and 29,183.63

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Solution

The third proportional to 20,004 and 29,183.63 is: 42,575.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004 : 29,183.63 = 29,183.63 : x
  2. Step 2: Convert to fraction form
    20,004/29,183.63 = 29,183.63/x
  3. Step 3: Cross multiply
    20,004x = 29,183.63 × 29,183.63
  4. Step 4: Simplify right side
    20,004x = 851,683,968.14
  5. Step 5: Solve for x
    x = 851,683,968.14/20,004
  6. Step 6: Final answer
    x = 42,575.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.