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Finding the Third Proportional to 14,254 and 21,447

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Solution

The third proportional to 14,254 and 21,447 is: 32,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254 : 21,447 = 21,447 : x
  2. Step 2: Convert to fraction form
    14,254/21,447 = 21,447/x
  3. Step 3: Cross multiply
    14,254x = 21,447 × 21,447
  4. Step 4: Simplify right side
    14,254x = 459,973,809
  5. Step 5: Solve for x
    x = 459,973,809/14,254
  6. Step 6: Final answer
    x = 32,269.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.