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Finding the Third Proportional to 30,590 and 41,277

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Solution

The third proportional to 30,590 and 41,277 is: 55,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590 : 41,277 = 41,277 : x
  2. Step 2: Convert to fraction form
    30,590/41,277 = 41,277/x
  3. Step 3: Cross multiply
    30,590x = 41,277 × 41,277
  4. Step 4: Simplify right side
    30,590x = 1,703,790,729
  5. Step 5: Solve for x
    x = 1,703,790,729/30,590
  6. Step 6: Final answer
    x = 55,697.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.