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Finding the Third Proportional to 40,666.50 and 61,107.75

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Solution

The third proportional to 40,666.50 and 61,107.75 is: 91,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,666.50 : 61,107.75 = 61,107.75 : x
  2. Step 2: Convert to fraction form
    40,666.50/61,107.75 = 61,107.75/x
  3. Step 3: Cross multiply
    40,666.50x = 61,107.75 × 61,107.75
  4. Step 4: Simplify right side
    40,666.50x = 3,734,157,110.06
  5. Step 5: Solve for x
    x = 3,734,157,110.06/40,666.50
  6. Step 6: Final answer
    x = 91,823.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.