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Finding the Third Proportional to 30,206 and 43,338

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Solution

The third proportional to 30,206 and 43,338 is: 62,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206 : 43,338 = 43,338 : x
  2. Step 2: Convert to fraction form
    30,206/43,338 = 43,338/x
  3. Step 3: Cross multiply
    30,206x = 43,338 × 43,338
  4. Step 4: Simplify right side
    30,206x = 1,878,182,244
  5. Step 5: Solve for x
    x = 1,878,182,244/30,206
  6. Step 6: Final answer
    x = 62,179.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.