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Finding the Third Proportional to 11,746.47 and 24,464.94

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Solution

The third proportional to 11,746.47 and 24,464.94 is: 50,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.47 : 24,464.94 = 24,464.94 : x
  2. Step 2: Convert to fraction form
    11,746.47/24,464.94 = 24,464.94/x
  3. Step 3: Cross multiply
    11,746.47x = 24,464.94 × 24,464.94
  4. Step 4: Simplify right side
    11,746.47x = 598,533,166.88
  5. Step 5: Solve for x
    x = 598,533,166.88/11,746.47
  6. Step 6: Final answer
    x = 50,954.31

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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.