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Finding the Third Proportional to 17,807.34 and 38,234.53

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Solution

The third proportional to 17,807.34 and 38,234.53 is: 82,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.34 : 38,234.53 = 38,234.53 : x
  2. Step 2: Convert to fraction form
    17,807.34/38,234.53 = 38,234.53/x
  3. Step 3: Cross multiply
    17,807.34x = 38,234.53 × 38,234.53
  4. Step 4: Simplify right side
    17,807.34x = 1,461,879,379.91
  5. Step 5: Solve for x
    x = 1,461,879,379.91/17,807.34
  6. Step 6: Final answer
    x = 82,094.19

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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.