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Finding the Third Proportional to 29,749.50 and 65,250

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Solution

The third proportional to 29,749.50 and 65,250 is: 143,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,749.50 : 65,250 = 65,250 : x
  2. Step 2: Convert to fraction form
    29,749.50/65,250 = 65,250/x
  3. Step 3: Cross multiply
    29,749.50x = 65,250 × 65,250
  4. Step 4: Simplify right side
    29,749.50x = 4,257,562,500
  5. Step 5: Solve for x
    x = 4,257,562,500/29,749.50
  6. Step 6: Final answer
    x = 143,113.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.