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Finding the Third Proportional to 24,912.75 and 36,411.75

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Solution

The third proportional to 24,912.75 and 36,411.75 is: 53,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912.75 : 36,411.75 = 36,411.75 : x
  2. Step 2: Convert to fraction form
    24,912.75/36,411.75 = 36,411.75/x
  3. Step 3: Cross multiply
    24,912.75x = 36,411.75 × 36,411.75
  4. Step 4: Simplify right side
    24,912.75x = 1,325,815,538.06
  5. Step 5: Solve for x
    x = 1,325,815,538.06/24,912.75
  6. Step 6: Final answer
    x = 53,218.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.