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Finding the Third Proportional to 12,434.50 and 24,239

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Solution

The third proportional to 12,434.50 and 24,239 is: 47,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.50 : 24,239 = 24,239 : x
  2. Step 2: Convert to fraction form
    12,434.50/24,239 = 24,239/x
  3. Step 3: Cross multiply
    12,434.50x = 24,239 × 24,239
  4. Step 4: Simplify right side
    12,434.50x = 587,529,121
  5. Step 5: Solve for x
    x = 587,529,121/12,434.50
  6. Step 6: Final answer
    x = 47,249.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.