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Finding the Third Proportional to 14,004 and 18,765

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Solution

The third proportional to 14,004 and 18,765 is: 25,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 18,765 = 18,765 : x
  2. Step 2: Convert to fraction form
    14,004/18,765 = 18,765/x
  3. Step 3: Cross multiply
    14,004x = 18,765 × 18,765
  4. Step 4: Simplify right side
    14,004x = 352,125,225
  5. Step 5: Solve for x
    x = 352,125,225/14,004
  6. Step 6: Final answer
    x = 25,144.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.