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Finding the Third Proportional to 23,178 and 49,638

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Solution

The third proportional to 23,178 and 49,638 is: 106,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178 : 49,638 = 49,638 : x
  2. Step 2: Convert to fraction form
    23,178/49,638 = 49,638/x
  3. Step 3: Cross multiply
    23,178x = 49,638 × 49,638
  4. Step 4: Simplify right side
    23,178x = 2,463,931,044
  5. Step 5: Solve for x
    x = 2,463,931,044/23,178
  6. Step 6: Final answer
    x = 106,304.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.