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Finding the Third Proportional to 28,674 and 44,289

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Solution

The third proportional to 28,674 and 44,289 is: 68,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,674 : 44,289 = 44,289 : x
  2. Step 2: Convert to fraction form
    28,674/44,289 = 44,289/x
  3. Step 3: Cross multiply
    28,674x = 44,289 × 44,289
  4. Step 4: Simplify right side
    28,674x = 1,961,515,521
  5. Step 5: Solve for x
    x = 1,961,515,521/28,674
  6. Step 6: Final answer
    x = 68,407.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.