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Finding the Third Proportional to 9,596 and 21,424

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Solution

The third proportional to 9,596 and 21,424 is: 47,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596 : 21,424 = 21,424 : x
  2. Step 2: Convert to fraction form
    9,596/21,424 = 21,424/x
  3. Step 3: Cross multiply
    9,596x = 21,424 × 21,424
  4. Step 4: Simplify right side
    9,596x = 458,987,776
  5. Step 5: Solve for x
    x = 458,987,776/9,596
  6. Step 6: Final answer
    x = 47,831.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.