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Finding the Third Proportional to 46,668 and 69,984

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Solution

The third proportional to 46,668 and 69,984 is: 104,949.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,668 : 69,984 = 69,984 : x
  2. Step 2: Convert to fraction form
    46,668/69,984 = 69,984/x
  3. Step 3: Cross multiply
    46,668x = 69,984 × 69,984
  4. Step 4: Simplify right side
    46,668x = 4,897,760,256
  5. Step 5: Solve for x
    x = 4,897,760,256/46,668
  6. Step 6: Final answer
    x = 104,949.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.