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Finding the Third Proportional to 36,358 and 48,515

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Solution

The third proportional to 36,358 and 48,515 is: 64,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,358 : 48,515 = 48,515 : x
  2. Step 2: Convert to fraction form
    36,358/48,515 = 48,515/x
  3. Step 3: Cross multiply
    36,358x = 48,515 × 48,515
  4. Step 4: Simplify right side
    36,358x = 2,353,705,225
  5. Step 5: Solve for x
    x = 2,353,705,225/36,358
  6. Step 6: Final answer
    x = 64,736.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.