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Finding the Third Proportional to 23,024 and 48,964

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Solution

The third proportional to 23,024 and 48,964 is: 104,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024 : 48,964 = 48,964 : x
  2. Step 2: Convert to fraction form
    23,024/48,964 = 48,964/x
  3. Step 3: Cross multiply
    23,024x = 48,964 × 48,964
  4. Step 4: Simplify right side
    23,024x = 2,397,473,296
  5. Step 5: Solve for x
    x = 2,397,473,296/23,024
  6. Step 6: Final answer
    x = 104,129.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.