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Finding the Third Proportional to 30,825.28 and 66,328.31

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Solution

The third proportional to 30,825.28 and 66,328.31 is: 142,721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,825.28 : 66,328.31 = 66,328.31 : x
  2. Step 2: Convert to fraction form
    30,825.28/66,328.31 = 66,328.31/x
  3. Step 3: Cross multiply
    30,825.28x = 66,328.31 × 66,328.31
  4. Step 4: Simplify right side
    30,825.28x = 4,399,445,039.10
  5. Step 5: Solve for x
    x = 4,399,445,039.10/30,825.28
  6. Step 6: Final answer
    x = 142,721.98

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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.