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Finding the Third Proportional to 17,478 and 38,236

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Solution

The third proportional to 17,478 and 38,236 is: 83,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478 : 38,236 = 38,236 : x
  2. Step 2: Convert to fraction form
    17,478/38,236 = 38,236/x
  3. Step 3: Cross multiply
    17,478x = 38,236 × 38,236
  4. Step 4: Simplify right side
    17,478x = 1,461,991,696
  5. Step 5: Solve for x
    x = 1,461,991,696/17,478
  6. Step 6: Final answer
    x = 83,647.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.