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Finding the Third Proportional to 35,550.75 and 41,701.75

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Solution

The third proportional to 35,550.75 and 41,701.75 is: 48,917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,550.75 : 41,701.75 = 41,701.75 : x
  2. Step 2: Convert to fraction form
    35,550.75/41,701.75 = 41,701.75/x
  3. Step 3: Cross multiply
    35,550.75x = 41,701.75 × 41,701.75
  4. Step 4: Simplify right side
    35,550.75x = 1,739,035,953.06
  5. Step 5: Solve for x
    x = 1,739,035,953.06/35,550.75
  6. Step 6: Final answer
    x = 48,917.00

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.