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Finding the Third Proportional to 9,932 and 19,360

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Solution

The third proportional to 9,932 and 19,360 is: 37,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932 : 19,360 = 19,360 : x
  2. Step 2: Convert to fraction form
    9,932/19,360 = 19,360/x
  3. Step 3: Cross multiply
    9,932x = 19,360 × 19,360
  4. Step 4: Simplify right side
    9,932x = 374,809,600
  5. Step 5: Solve for x
    x = 374,809,600/9,932
  6. Step 6: Final answer
    x = 37,737.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.