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Finding the Third Proportional to 24,048.75 and 35,874.75

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Solution

The third proportional to 24,048.75 and 35,874.75 is: 53,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048.75 : 35,874.75 = 35,874.75 : x
  2. Step 2: Convert to fraction form
    24,048.75/35,874.75 = 35,874.75/x
  3. Step 3: Cross multiply
    24,048.75x = 35,874.75 × 35,874.75
  4. Step 4: Simplify right side
    24,048.75x = 1,286,997,687.56
  5. Step 5: Solve for x
    x = 1,286,997,687.56/24,048.75
  6. Step 6: Final answer
    x = 53,516.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.