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Finding the Third Proportional to 24,694.50 and 53,250

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Solution

The third proportional to 24,694.50 and 53,250 is: 114,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.50 : 53,250 = 53,250 : x
  2. Step 2: Convert to fraction form
    24,694.50/53,250 = 53,250/x
  3. Step 3: Cross multiply
    24,694.50x = 53,250 × 53,250
  4. Step 4: Simplify right side
    24,694.50x = 2,835,562,500
  5. Step 5: Solve for x
    x = 2,835,562,500/24,694.50
  6. Step 6: Final answer
    x = 114,825.67

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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.