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Finding the Third Proportional to 30,517 and 46,205

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Solution

The third proportional to 30,517 and 46,205 is: 69,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,517 : 46,205 = 46,205 : x
  2. Step 2: Convert to fraction form
    30,517/46,205 = 46,205/x
  3. Step 3: Cross multiply
    30,517x = 46,205 × 46,205
  4. Step 4: Simplify right side
    30,517x = 2,134,902,025
  5. Step 5: Solve for x
    x = 2,134,902,025/30,517
  6. Step 6: Final answer
    x = 69,957.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.