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Finding the Third Proportional to 24,026 and 49,964

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Solution

The third proportional to 24,026 and 49,964 is: 103,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,026 : 49,964 = 49,964 : x
  2. Step 2: Convert to fraction form
    24,026/49,964 = 49,964/x
  3. Step 3: Cross multiply
    24,026x = 49,964 × 49,964
  4. Step 4: Simplify right side
    24,026x = 2,496,401,296
  5. Step 5: Solve for x
    x = 2,496,401,296/24,026
  6. Step 6: Final answer
    x = 103,904.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.