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Finding the Third Proportional to 19,077.19 and 29,183.06

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Solution

The third proportional to 19,077.19 and 29,183.06 is: 44,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077.19 : 29,183.06 = 29,183.06 : x
  2. Step 2: Convert to fraction form
    19,077.19/29,183.06 = 29,183.06/x
  3. Step 3: Cross multiply
    19,077.19x = 29,183.06 × 29,183.06
  4. Step 4: Simplify right side
    19,077.19x = 851,651,136.88
  5. Step 5: Solve for x
    x = 851,651,136.88/19,077.19
  6. Step 6: Final answer
    x = 44,642.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.