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Finding the Third Proportional to 30,830.63 and 66,337.31

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Solution

The third proportional to 30,830.63 and 66,337.31 is: 142,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.63 : 66,337.31 = 66,337.31 : x
  2. Step 2: Convert to fraction form
    30,830.63/66,337.31 = 66,337.31/x
  3. Step 3: Cross multiply
    30,830.63x = 66,337.31 × 66,337.31
  4. Step 4: Simplify right side
    30,830.63x = 4,400,639,029.72
  5. Step 5: Solve for x
    x = 4,400,639,029.72/30,830.63
  6. Step 6: Final answer
    x = 142,735.97

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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.