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Finding the Third Proportional to 35,238 and 48,320.75

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Solution

The third proportional to 35,238 and 48,320.75 is: 66,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,238 : 48,320.75 = 48,320.75 : x
  2. Step 2: Convert to fraction form
    35,238/48,320.75 = 48,320.75/x
  3. Step 3: Cross multiply
    35,238x = 48,320.75 × 48,320.75
  4. Step 4: Simplify right side
    35,238x = 2,334,894,880.56
  5. Step 5: Solve for x
    x = 2,334,894,880.56/35,238
  6. Step 6: Final answer
    x = 66,260.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.