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Finding the Third Proportional to 23,444 and 51,048

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Solution

The third proportional to 23,444 and 51,048 is: 111,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444 : 51,048 = 51,048 : x
  2. Step 2: Convert to fraction form
    23,444/51,048 = 51,048/x
  3. Step 3: Cross multiply
    23,444x = 51,048 × 51,048
  4. Step 4: Simplify right side
    23,444x = 2,605,898,304
  5. Step 5: Solve for x
    x = 2,605,898,304/23,444
  6. Step 6: Final answer
    x = 111,154.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.