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Finding the Third Proportional to 4,703 and 10,520

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Solution

The third proportional to 4,703 and 10,520 is: 23,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703 : 10,520 = 10,520 : x
  2. Step 2: Convert to fraction form
    4,703/10,520 = 10,520/x
  3. Step 3: Cross multiply
    4,703x = 10,520 × 10,520
  4. Step 4: Simplify right side
    4,703x = 110,670,400
  5. Step 5: Solve for x
    x = 110,670,400/4,703
  6. Step 6: Final answer
    x = 23,531.87

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.