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Finding the Third Proportional to 46,416 and 67,668

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Solution

The third proportional to 46,416 and 67,668 is: 98,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,416 : 67,668 = 67,668 : x
  2. Step 2: Convert to fraction form
    46,416/67,668 = 67,668/x
  3. Step 3: Cross multiply
    46,416x = 67,668 × 67,668
  4. Step 4: Simplify right side
    46,416x = 4,578,958,224
  5. Step 5: Solve for x
    x = 4,578,958,224/46,416
  6. Step 6: Final answer
    x = 98,650.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.