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Finding the Third Proportional to 11,504.53 and 24,618.94

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Solution

The third proportional to 11,504.53 and 24,618.94 is: 52,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.53 : 24,618.94 = 24,618.94 : x
  2. Step 2: Convert to fraction form
    11,504.53/24,618.94 = 24,618.94/x
  3. Step 3: Cross multiply
    11,504.53x = 24,618.94 × 24,618.94
  4. Step 4: Simplify right side
    11,504.53x = 606,092,083.63
  5. Step 5: Solve for x
    x = 606,092,083.63/11,504.53
  6. Step 6: Final answer
    x = 52,682.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.