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Finding the Third Proportional to 46,444 and 67,720

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Solution

The third proportional to 46,444 and 67,720 is: 98,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,444 : 67,720 = 67,720 : x
  2. Step 2: Convert to fraction form
    46,444/67,720 = 67,720/x
  3. Step 3: Cross multiply
    46,444x = 67,720 × 67,720
  4. Step 4: Simplify right side
    46,444x = 4,585,998,400
  5. Step 5: Solve for x
    x = 4,585,998,400/46,444
  6. Step 6: Final answer
    x = 98,742.54

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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.