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Finding the Third Proportional to 31,666.50 and 68,355

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Solution

The third proportional to 31,666.50 and 68,355 is: 147,550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.50 : 68,355 = 68,355 : x
  2. Step 2: Convert to fraction form
    31,666.50/68,355 = 68,355/x
  3. Step 3: Cross multiply
    31,666.50x = 68,355 × 68,355
  4. Step 4: Simplify right side
    31,666.50x = 4,672,406,025
  5. Step 5: Solve for x
    x = 4,672,406,025/31,666.50
  6. Step 6: Final answer
    x = 147,550.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.