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Finding the Third Proportional to 19,302 and 44,835

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Solution

The third proportional to 19,302 and 44,835 is: 104,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,302 : 44,835 = 44,835 : x
  2. Step 2: Convert to fraction form
    19,302/44,835 = 44,835/x
  3. Step 3: Cross multiply
    19,302x = 44,835 × 44,835
  4. Step 4: Simplify right side
    19,302x = 2,010,177,225
  5. Step 5: Solve for x
    x = 2,010,177,225/19,302
  6. Step 6: Final answer
    x = 104,143.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.