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Finding the Third Proportional to 24,194 and 32,835

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Solution

The third proportional to 24,194 and 32,835 is: 44,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194 : 32,835 = 32,835 : x
  2. Step 2: Convert to fraction form
    24,194/32,835 = 32,835/x
  3. Step 3: Cross multiply
    24,194x = 32,835 × 32,835
  4. Step 4: Simplify right side
    24,194x = 1,078,137,225
  5. Step 5: Solve for x
    x = 1,078,137,225/24,194
  6. Step 6: Final answer
    x = 44,562.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.