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Finding the Third Proportional to 14,015 and 29,002

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Solution

The third proportional to 14,015 and 29,002 is: 60,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015 : 29,002 = 29,002 : x
  2. Step 2: Convert to fraction form
    14,015/29,002 = 29,002/x
  3. Step 3: Cross multiply
    14,015x = 29,002 × 29,002
  4. Step 4: Simplify right side
    14,015x = 841,116,004
  5. Step 5: Solve for x
    x = 841,116,004/14,015
  6. Step 6: Final answer
    x = 60,015.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.