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Finding the Third Proportional to 30,762 and 67,309.88

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Solution

The third proportional to 30,762 and 67,309.88 is: 147,279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762 : 67,309.88 = 67,309.88 : x
  2. Step 2: Convert to fraction form
    30,762/67,309.88 = 67,309.88/x
  3. Step 3: Cross multiply
    30,762x = 67,309.88 × 67,309.88
  4. Step 4: Simplify right side
    30,762x = 4,530,619,272.52
  5. Step 5: Solve for x
    x = 4,530,619,272.52/30,762
  6. Step 6: Final answer
    x = 147,279.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.