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Finding the Third Proportional to 30,580 and 63,126

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Solution

The third proportional to 30,580 and 63,126 is: 130,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,580 : 63,126 = 63,126 : x
  2. Step 2: Convert to fraction form
    30,580/63,126 = 63,126/x
  3. Step 3: Cross multiply
    30,580x = 63,126 × 63,126
  4. Step 4: Simplify right side
    30,580x = 3,984,891,876
  5. Step 5: Solve for x
    x = 3,984,891,876/30,580
  6. Step 6: Final answer
    x = 130,310.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.