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Finding the Third Proportional to 39,523.50 and 70,274.25

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Solution

The third proportional to 39,523.50 and 70,274.25 is: 124,950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,523.50 : 70,274.25 = 70,274.25 : x
  2. Step 2: Convert to fraction form
    39,523.50/70,274.25 = 70,274.25/x
  3. Step 3: Cross multiply
    39,523.50x = 70,274.25 × 70,274.25
  4. Step 4: Simplify right side
    39,523.50x = 4,938,470,213.06
  5. Step 5: Solve for x
    x = 4,938,470,213.06/39,523.50
  6. Step 6: Final answer
    x = 124,950.22

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.