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Finding the Third Proportional to 35,711.67 and 74,379.05

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Solution

The third proportional to 35,711.67 and 74,379.05 is: 154,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,711.67 : 74,379.05 = 74,379.05 : x
  2. Step 2: Convert to fraction form
    35,711.67/74,379.05 = 74,379.05/x
  3. Step 3: Cross multiply
    35,711.67x = 74,379.05 × 74,379.05
  4. Step 4: Simplify right side
    35,711.67x = 5,532,242,614.03
  5. Step 5: Solve for x
    x = 5,532,242,614.03/35,711.67
  6. Step 6: Final answer
    x = 154,914.13

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Why These Related Problems?

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