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Finding the Third Proportional to 17,378.50 and 38,213

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Solution

The third proportional to 17,378.50 and 38,213 is: 84,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.50 : 38,213 = 38,213 : x
  2. Step 2: Convert to fraction form
    17,378.50/38,213 = 38,213/x
  3. Step 3: Cross multiply
    17,378.50x = 38,213 × 38,213
  4. Step 4: Simplify right side
    17,378.50x = 1,460,233,369
  5. Step 5: Solve for x
    x = 1,460,233,369/17,378.50
  6. Step 6: Final answer
    x = 84,025.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.