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Finding the Third Proportional to 30,438 and 41,808

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Solution

The third proportional to 30,438 and 41,808 is: 57,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 41,808 = 41,808 : x
  2. Step 2: Convert to fraction form
    30,438/41,808 = 41,808/x
  3. Step 3: Cross multiply
    30,438x = 41,808 × 41,808
  4. Step 4: Simplify right side
    30,438x = 1,747,908,864
  5. Step 5: Solve for x
    x = 1,747,908,864/30,438
  6. Step 6: Final answer
    x = 57,425.22

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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.