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Finding the Third Proportional to 23,398 and 34,202

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Solution

The third proportional to 23,398 and 34,202 is: 49,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398 : 34,202 = 34,202 : x
  2. Step 2: Convert to fraction form
    23,398/34,202 = 34,202/x
  3. Step 3: Cross multiply
    23,398x = 34,202 × 34,202
  4. Step 4: Simplify right side
    23,398x = 1,169,776,804
  5. Step 5: Solve for x
    x = 1,169,776,804/23,398
  6. Step 6: Final answer
    x = 49,994.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.