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Finding the Third Proportional to 14,024 and 21,473

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Solution

The third proportional to 14,024 and 21,473 is: 32,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024 : 21,473 = 21,473 : x
  2. Step 2: Convert to fraction form
    14,024/21,473 = 21,473/x
  3. Step 3: Cross multiply
    14,024x = 21,473 × 21,473
  4. Step 4: Simplify right side
    14,024x = 461,089,729
  5. Step 5: Solve for x
    x = 461,089,729/14,024
  6. Step 6: Final answer
    x = 32,878.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.