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Finding the Third Proportional to 17,701.03 and 38,306.67

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Solution

The third proportional to 17,701.03 and 38,306.67 is: 82,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.03 : 38,306.67 = 38,306.67 : x
  2. Step 2: Convert to fraction form
    17,701.03/38,306.67 = 38,306.67/x
  3. Step 3: Cross multiply
    17,701.03x = 38,306.67 × 38,306.67
  4. Step 4: Simplify right side
    17,701.03x = 1,467,401,110.14
  5. Step 5: Solve for x
    x = 1,467,401,110.14/17,701.03
  6. Step 6: Final answer
    x = 82,899.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.