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Finding the Third Proportional to 35,330 and 49,515

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Solution

The third proportional to 35,330 and 49,515 is: 69,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,330 : 49,515 = 49,515 : x
  2. Step 2: Convert to fraction form
    35,330/49,515 = 49,515/x
  3. Step 3: Cross multiply
    35,330x = 49,515 × 49,515
  4. Step 4: Simplify right side
    35,330x = 2,451,735,225
  5. Step 5: Solve for x
    x = 2,451,735,225/35,330
  6. Step 6: Final answer
    x = 69,395.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.