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Finding the Third Proportional to 19,384 and 29,236

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Solution

The third proportional to 19,384 and 29,236 is: 44,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384 : 29,236 = 29,236 : x
  2. Step 2: Convert to fraction form
    19,384/29,236 = 29,236/x
  3. Step 3: Cross multiply
    19,384x = 29,236 × 29,236
  4. Step 4: Simplify right side
    19,384x = 854,743,696
  5. Step 5: Solve for x
    x = 854,743,696/19,384
  6. Step 6: Final answer
    x = 44,095.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.