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Finding the Third Proportional to 19,234.69 and 29,524.22

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Solution

The third proportional to 19,234.69 and 29,524.22 is: 45,318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234.69 : 29,524.22 = 29,524.22 : x
  2. Step 2: Convert to fraction form
    19,234.69/29,524.22 = 29,524.22/x
  3. Step 3: Cross multiply
    19,234.69x = 29,524.22 × 29,524.22
  4. Step 4: Simplify right side
    19,234.69x = 871,679,492.80
  5. Step 5: Solve for x
    x = 871,679,492.80/19,234.69
  6. Step 6: Final answer
    x = 45,318.10

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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.