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Finding the Third Proportional to 46,416 and 74,736

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Solution

The third proportional to 46,416 and 74,736 is: 120,335.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,416 : 74,736 = 74,736 : x
  2. Step 2: Convert to fraction form
    46,416/74,736 = 74,736/x
  3. Step 3: Cross multiply
    46,416x = 74,736 × 74,736
  4. Step 4: Simplify right side
    46,416x = 5,585,469,696
  5. Step 5: Solve for x
    x = 5,585,469,696/46,416
  6. Step 6: Final answer
    x = 120,335.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.