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Finding the Third Proportional to 30,093 and 63,291

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Solution

The third proportional to 30,093 and 63,291 is: 133,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,093 : 63,291 = 63,291 : x
  2. Step 2: Convert to fraction form
    30,093/63,291 = 63,291/x
  3. Step 3: Cross multiply
    30,093x = 63,291 × 63,291
  4. Step 4: Simplify right side
    30,093x = 4,005,750,681
  5. Step 5: Solve for x
    x = 4,005,750,681/30,093
  6. Step 6: Final answer
    x = 133,112.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.