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Finding the Third Proportional to 28,440 and 41,644

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Solution

The third proportional to 28,440 and 41,644 is: 60,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,440 : 41,644 = 41,644 : x
  2. Step 2: Convert to fraction form
    28,440/41,644 = 41,644/x
  3. Step 3: Cross multiply
    28,440x = 41,644 × 41,644
  4. Step 4: Simplify right side
    28,440x = 1,734,222,736
  5. Step 5: Solve for x
    x = 1,734,222,736/28,440
  6. Step 6: Final answer
    x = 60,978.30

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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.