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Finding the Third Proportional to 32,930.16 and 51,084.42

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Solution

The third proportional to 32,930.16 and 51,084.42 is: 79,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,930.16 : 51,084.42 = 51,084.42 : x
  2. Step 2: Convert to fraction form
    32,930.16/51,084.42 = 51,084.42/x
  3. Step 3: Cross multiply
    32,930.16x = 51,084.42 × 51,084.42
  4. Step 4: Simplify right side
    32,930.16x = 2,609,618,158.30
  5. Step 5: Solve for x
    x = 2,609,618,158.30/32,930.16
  6. Step 6: Final answer
    x = 79,247.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.