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Finding the Third Proportional to 35,853.75 and 50,148

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Solution

The third proportional to 35,853.75 and 50,148 is: 70,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,853.75 : 50,148 = 50,148 : x
  2. Step 2: Convert to fraction form
    35,853.75/50,148 = 50,148/x
  3. Step 3: Cross multiply
    35,853.75x = 50,148 × 50,148
  4. Step 4: Simplify right side
    35,853.75x = 2,514,821,904
  5. Step 5: Solve for x
    x = 2,514,821,904/35,853.75
  6. Step 6: Final answer
    x = 70,141.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.