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Finding the Third Proportional to 11,664 and 24,072

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Solution

The third proportional to 11,664 and 24,072 is: 49,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 24,072 = 24,072 : x
  2. Step 2: Convert to fraction form
    11,664/24,072 = 24,072/x
  3. Step 3: Cross multiply
    11,664x = 24,072 × 24,072
  4. Step 4: Simplify right side
    11,664x = 579,461,184
  5. Step 5: Solve for x
    x = 579,461,184/11,664
  6. Step 6: Final answer
    x = 49,679.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.