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Finding the Third Proportional to 30,883.78 and 46,811.67

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Solution

The third proportional to 30,883.78 and 46,811.67 is: 70,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.78 : 46,811.67 = 46,811.67 : x
  2. Step 2: Convert to fraction form
    30,883.78/46,811.67 = 46,811.67/x
  3. Step 3: Cross multiply
    30,883.78x = 46,811.67 × 46,811.67
  4. Step 4: Simplify right side
    30,883.78x = 2,191,332,623.73
  5. Step 5: Solve for x
    x = 2,191,332,623.73/30,883.78
  6. Step 6: Final answer
    x = 70,954.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.