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Finding the Third Proportional to 51,609.75 and 72,678.38

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Solution

The third proportional to 51,609.75 and 72,678.38 is: 102,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,609.75 : 72,678.38 = 72,678.38 : x
  2. Step 2: Convert to fraction form
    51,609.75/72,678.38 = 72,678.38/x
  3. Step 3: Cross multiply
    51,609.75x = 72,678.38 × 72,678.38
  4. Step 4: Simplify right side
    51,609.75x = 5,282,146,192.64
  5. Step 5: Solve for x
    x = 5,282,146,192.64/51,609.75
  6. Step 6: Final answer
    x = 102,347.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.