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Finding the Third Proportional to 15,230.81 and 31,680.42

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Solution

The third proportional to 15,230.81 and 31,680.42 is: 65,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.81 : 31,680.42 = 31,680.42 : x
  2. Step 2: Convert to fraction form
    15,230.81/31,680.42 = 31,680.42/x
  3. Step 3: Cross multiply
    15,230.81x = 31,680.42 × 31,680.42
  4. Step 4: Simplify right side
    15,230.81x = 1,003,649,130.18
  5. Step 5: Solve for x
    x = 1,003,649,130.18/15,230.81
  6. Step 6: Final answer
    x = 65,895.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.