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Finding the Third Proportional to 4,828.57 and 7,472.67

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Solution

The third proportional to 4,828.57 and 7,472.67 is: 11,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828.57 : 7,472.67 = 7,472.67 : x
  2. Step 2: Convert to fraction form
    4,828.57/7,472.67 = 7,472.67/x
  3. Step 3: Cross multiply
    4,828.57x = 7,472.67 × 7,472.67
  4. Step 4: Simplify right side
    4,828.57x = 55,840,824.95
  5. Step 5: Solve for x
    x = 55,840,824.95/4,828.57
  6. Step 6: Final answer
    x = 11,564.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.