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Finding the Third Proportional to 4,570.17 and 10,199.67

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Solution

The third proportional to 4,570.17 and 10,199.67 is: 22,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.17 : 10,199.67 = 10,199.67 : x
  2. Step 2: Convert to fraction form
    4,570.17/10,199.67 = 10,199.67/x
  3. Step 3: Cross multiply
    4,570.17x = 10,199.67 × 10,199.67
  4. Step 4: Simplify right side
    4,570.17x = 104,033,306.36
  5. Step 5: Solve for x
    x = 104,033,306.36/4,570.17
  6. Step 6: Final answer
    x = 22,763.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.