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Finding the Third Proportional to 14,448 and 21,724

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Solution

The third proportional to 14,448 and 21,724 is: 32,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448 : 21,724 = 21,724 : x
  2. Step 2: Convert to fraction form
    14,448/21,724 = 21,724/x
  3. Step 3: Cross multiply
    14,448x = 21,724 × 21,724
  4. Step 4: Simplify right side
    14,448x = 471,932,176
  5. Step 5: Solve for x
    x = 471,932,176/14,448
  6. Step 6: Final answer
    x = 32,664.19

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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.