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Finding the Third Proportional to 11,361.52 and 24,537.94

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Solution

The third proportional to 11,361.52 and 24,537.94 is: 52,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.52 : 24,537.94 = 24,537.94 : x
  2. Step 2: Convert to fraction form
    11,361.52/24,537.94 = 24,537.94/x
  3. Step 3: Cross multiply
    11,361.52x = 24,537.94 × 24,537.94
  4. Step 4: Simplify right side
    11,361.52x = 602,110,376.75
  5. Step 5: Solve for x
    x = 602,110,376.75/11,361.52
  6. Step 6: Final answer
    x = 52,995.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.