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Finding the Third Proportional to 10,254 and 14,505

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Solution

The third proportional to 10,254 and 14,505 is: 20,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254 : 14,505 = 14,505 : x
  2. Step 2: Convert to fraction form
    10,254/14,505 = 14,505/x
  3. Step 3: Cross multiply
    10,254x = 14,505 × 14,505
  4. Step 4: Simplify right side
    10,254x = 210,395,025
  5. Step 5: Solve for x
    x = 210,395,025/10,254
  6. Step 6: Final answer
    x = 20,518.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.