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Finding the Third Proportional to 36,213 and 60,315

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Solution

The third proportional to 36,213 and 60,315 is: 100,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,213 : 60,315 = 60,315 : x
  2. Step 2: Convert to fraction form
    36,213/60,315 = 60,315/x
  3. Step 3: Cross multiply
    36,213x = 60,315 × 60,315
  4. Step 4: Simplify right side
    36,213x = 3,637,899,225
  5. Step 5: Solve for x
    x = 3,637,899,225/36,213
  6. Step 6: Final answer
    x = 100,458.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.