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Finding the Third Proportional to 19,198.90 and 29,592.84

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Solution

The third proportional to 19,198.90 and 29,592.84 is: 45,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.90 : 29,592.84 = 29,592.84 : x
  2. Step 2: Convert to fraction form
    19,198.90/29,592.84 = 29,592.84/x
  3. Step 3: Cross multiply
    19,198.90x = 29,592.84 × 29,592.84
  4. Step 4: Simplify right side
    19,198.90x = 875,736,401.21
  5. Step 5: Solve for x
    x = 875,736,401.21/19,198.90
  6. Step 6: Final answer
    x = 45,613.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.