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Finding the Third Proportional to 28,064 and 40,544

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Solution

The third proportional to 28,064 and 40,544 is: 58,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,064 : 40,544 = 40,544 : x
  2. Step 2: Convert to fraction form
    28,064/40,544 = 40,544/x
  3. Step 3: Cross multiply
    28,064x = 40,544 × 40,544
  4. Step 4: Simplify right side
    28,064x = 1,643,815,936
  5. Step 5: Solve for x
    x = 1,643,815,936/28,064
  6. Step 6: Final answer
    x = 58,573.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.