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Finding the Third Proportional to 28,104 and 64,002

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Solution

The third proportional to 28,104 and 64,002 is: 145,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,104 : 64,002 = 64,002 : x
  2. Step 2: Convert to fraction form
    28,104/64,002 = 64,002/x
  3. Step 3: Cross multiply
    28,104x = 64,002 × 64,002
  4. Step 4: Simplify right side
    28,104x = 4,096,256,004
  5. Step 5: Solve for x
    x = 4,096,256,004/28,104
  6. Step 6: Final answer
    x = 145,753.49

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.