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Finding the Third Proportional to 14,224 and 21,548

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Solution

The third proportional to 14,224 and 21,548 is: 32,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224 : 21,548 = 21,548 : x
  2. Step 2: Convert to fraction form
    14,224/21,548 = 21,548/x
  3. Step 3: Cross multiply
    14,224x = 21,548 × 21,548
  4. Step 4: Simplify right side
    14,224x = 464,316,304
  5. Step 5: Solve for x
    x = 464,316,304/14,224
  6. Step 6: Final answer
    x = 32,643.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.