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Finding the Third Proportional to 14,240 and 24,384

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Solution

The third proportional to 14,240 and 24,384 is: 41,754.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240 : 24,384 = 24,384 : x
  2. Step 2: Convert to fraction form
    14,240/24,384 = 24,384/x
  3. Step 3: Cross multiply
    14,240x = 24,384 × 24,384
  4. Step 4: Simplify right side
    14,240x = 594,579,456
  5. Step 5: Solve for x
    x = 594,579,456/14,240
  6. Step 6: Final answer
    x = 41,754.18

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.