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Finding the Third Proportional to 33,315 and 49,465

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Solution

The third proportional to 33,315 and 49,465 is: 73,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,315 : 49,465 = 49,465 : x
  2. Step 2: Convert to fraction form
    33,315/49,465 = 49,465/x
  3. Step 3: Cross multiply
    33,315x = 49,465 × 49,465
  4. Step 4: Simplify right side
    33,315x = 2,446,786,225
  5. Step 5: Solve for x
    x = 2,446,786,225/33,315
  6. Step 6: Final answer
    x = 73,443.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.