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Finding the Third Proportional to 30,818.25 and 65,608.31

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Solution

The third proportional to 30,818.25 and 65,608.31 is: 139,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,818.25 : 65,608.31 = 65,608.31 : x
  2. Step 2: Convert to fraction form
    30,818.25/65,608.31 = 65,608.31/x
  3. Step 3: Cross multiply
    30,818.25x = 65,608.31 × 65,608.31
  4. Step 4: Simplify right side
    30,818.25x = 4,304,450,669.10
  5. Step 5: Solve for x
    x = 4,304,450,669.10/30,818.25
  6. Step 6: Final answer
    x = 139,672.13

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.