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Finding the Third Proportional to 30,764 and 39,310

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Solution

The third proportional to 30,764 and 39,310 is: 50,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,764 : 39,310 = 39,310 : x
  2. Step 2: Convert to fraction form
    30,764/39,310 = 39,310/x
  3. Step 3: Cross multiply
    30,764x = 39,310 × 39,310
  4. Step 4: Simplify right side
    30,764x = 1,545,276,100
  5. Step 5: Solve for x
    x = 1,545,276,100/30,764
  6. Step 6: Final answer
    x = 50,230.01

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.