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Finding the Third Proportional to 14,736 and 23,724

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Solution

The third proportional to 14,736 and 23,724 is: 38,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736 : 23,724 = 23,724 : x
  2. Step 2: Convert to fraction form
    14,736/23,724 = 23,724/x
  3. Step 3: Cross multiply
    14,736x = 23,724 × 23,724
  4. Step 4: Simplify right side
    14,736x = 562,828,176
  5. Step 5: Solve for x
    x = 562,828,176/14,736
  6. Step 6: Final answer
    x = 38,194.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.