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Finding the Third Proportional to 30,213.50 and 65,287

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Solution

The third proportional to 30,213.50 and 65,287 is: 141,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.50 : 65,287 = 65,287 : x
  2. Step 2: Convert to fraction form
    30,213.50/65,287 = 65,287/x
  3. Step 3: Cross multiply
    30,213.50x = 65,287 × 65,287
  4. Step 4: Simplify right side
    30,213.50x = 4,262,392,369
  5. Step 5: Solve for x
    x = 4,262,392,369/30,213.50
  6. Step 6: Final answer
    x = 141,075.76

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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.