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Finding the Third Proportional to 4,746 and 10,512

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Solution

The third proportional to 4,746 and 10,512 is: 23,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746 : 10,512 = 10,512 : x
  2. Step 2: Convert to fraction form
    4,746/10,512 = 10,512/x
  3. Step 3: Cross multiply
    4,746x = 10,512 × 10,512
  4. Step 4: Simplify right side
    4,746x = 110,502,144
  5. Step 5: Solve for x
    x = 110,502,144/4,746
  6. Step 6: Final answer
    x = 23,283.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.