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Finding the Third Proportional to 30,782.25 and 66,272.63

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Solution

The third proportional to 30,782.25 and 66,272.63 is: 142,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.25 : 66,272.63 = 66,272.63 : x
  2. Step 2: Convert to fraction form
    30,782.25/66,272.63 = 66,272.63/x
  3. Step 3: Cross multiply
    30,782.25x = 66,272.63 × 66,272.63
  4. Step 4: Simplify right side
    30,782.25x = 4,392,060,824.39
  5. Step 5: Solve for x
    x = 4,392,060,824.39/30,782.25
  6. Step 6: Final answer
    x = 142,681.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.