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Finding the Third Proportional to 49,693.50 and 66,885.75

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Solution

The third proportional to 49,693.50 and 66,885.75 is: 90,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,693.50 : 66,885.75 = 66,885.75 : x
  2. Step 2: Convert to fraction form
    49,693.50/66,885.75 = 66,885.75/x
  3. Step 3: Cross multiply
    49,693.50x = 66,885.75 × 66,885.75
  4. Step 4: Simplify right side
    49,693.50x = 4,473,703,553.06
  5. Step 5: Solve for x
    x = 4,473,703,553.06/49,693.50
  6. Step 6: Final answer
    x = 90,025.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.