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Finding the Third Proportional to 43,940 and 66,526.50

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Solution

The third proportional to 43,940 and 66,526.50 is: 100,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,940 : 66,526.50 = 66,526.50 : x
  2. Step 2: Convert to fraction form
    43,940/66,526.50 = 66,526.50/x
  3. Step 3: Cross multiply
    43,940x = 66,526.50 × 66,526.50
  4. Step 4: Simplify right side
    43,940x = 4,425,775,202.25
  5. Step 5: Solve for x
    x = 4,425,775,202.25/43,940
  6. Step 6: Final answer
    x = 100,723.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.