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Finding the Third Proportional to 30,990 and 63,814.50

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Solution

The third proportional to 30,990 and 63,814.50 is: 131,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990 : 63,814.50 = 63,814.50 : x
  2. Step 2: Convert to fraction form
    30,990/63,814.50 = 63,814.50/x
  3. Step 3: Cross multiply
    30,990x = 63,814.50 × 63,814.50
  4. Step 4: Simplify right side
    30,990x = 4,072,290,410.25
  5. Step 5: Solve for x
    x = 4,072,290,410.25/30,990
  6. Step 6: Final answer
    x = 131,406.60

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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.