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Finding the Third Proportional to 30,990 and 63,628

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Solution

The third proportional to 30,990 and 63,628 is: 130,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990 : 63,628 = 63,628 : x
  2. Step 2: Convert to fraction form
    30,990/63,628 = 63,628/x
  3. Step 3: Cross multiply
    30,990x = 63,628 × 63,628
  4. Step 4: Simplify right side
    30,990x = 4,048,522,384
  5. Step 5: Solve for x
    x = 4,048,522,384/30,990
  6. Step 6: Final answer
    x = 130,639.64

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.