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Finding the Third Proportional to 28,004 and 40,350

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Solution

The third proportional to 28,004 and 40,350 is: 58,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004 : 40,350 = 40,350 : x
  2. Step 2: Convert to fraction form
    28,004/40,350 = 40,350/x
  3. Step 3: Cross multiply
    28,004x = 40,350 × 40,350
  4. Step 4: Simplify right side
    28,004x = 1,628,122,500
  5. Step 5: Solve for x
    x = 1,628,122,500/28,004
  6. Step 6: Final answer
    x = 58,138.93

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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.