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Finding the Third Proportional to 14,004 and 30,040

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Solution

The third proportional to 14,004 and 30,040 is: 64,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 30,040 = 30,040 : x
  2. Step 2: Convert to fraction form
    14,004/30,040 = 30,040/x
  3. Step 3: Cross multiply
    14,004x = 30,040 × 30,040
  4. Step 4: Simplify right side
    14,004x = 902,401,600
  5. Step 5: Solve for x
    x = 902,401,600/14,004
  6. Step 6: Final answer
    x = 64,438.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.