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Finding the Third Proportional to 10,254 and 14,529

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Solution

The third proportional to 10,254 and 14,529 is: 20,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254 : 14,529 = 14,529 : x
  2. Step 2: Convert to fraction form
    10,254/14,529 = 14,529/x
  3. Step 3: Cross multiply
    10,254x = 14,529 × 14,529
  4. Step 4: Simplify right side
    10,254x = 211,091,841
  5. Step 5: Solve for x
    x = 211,091,841/10,254
  6. Step 6: Final answer
    x = 20,586.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.