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Finding the Third Proportional to 28,440 and 39,782

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Solution

The third proportional to 28,440 and 39,782 is: 55,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,440 : 39,782 = 39,782 : x
  2. Step 2: Convert to fraction form
    28,440/39,782 = 39,782/x
  3. Step 3: Cross multiply
    28,440x = 39,782 × 39,782
  4. Step 4: Simplify right side
    28,440x = 1,582,607,524
  5. Step 5: Solve for x
    x = 1,582,607,524/28,440
  6. Step 6: Final answer
    x = 55,647.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.