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Finding the Third Proportional to 14,745 and 21,024

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Solution

The third proportional to 14,745 and 21,024 is: 29,976.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745 : 21,024 = 21,024 : x
  2. Step 2: Convert to fraction form
    14,745/21,024 = 21,024/x
  3. Step 3: Cross multiply
    14,745x = 21,024 × 21,024
  4. Step 4: Simplify right side
    14,745x = 442,008,576
  5. Step 5: Solve for x
    x = 442,008,576/14,745
  6. Step 6: Final answer
    x = 29,976.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.