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Finding the Third Proportional to 10,384 and 14,240

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Solution

The third proportional to 10,384 and 14,240 is: 19,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384 : 14,240 = 14,240 : x
  2. Step 2: Convert to fraction form
    10,384/14,240 = 14,240/x
  3. Step 3: Cross multiply
    10,384x = 14,240 × 14,240
  4. Step 4: Simplify right side
    10,384x = 202,777,600
  5. Step 5: Solve for x
    x = 202,777,600/10,384
  6. Step 6: Final answer
    x = 19,527.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.