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Finding the Third Proportional to 35,242.50 and 50,109

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Solution

The third proportional to 35,242.50 and 50,109 is: 71,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,242.50 : 50,109 = 50,109 : x
  2. Step 2: Convert to fraction form
    35,242.50/50,109 = 50,109/x
  3. Step 3: Cross multiply
    35,242.50x = 50,109 × 50,109
  4. Step 4: Simplify right side
    35,242.50x = 2,510,911,881
  5. Step 5: Solve for x
    x = 2,510,911,881/35,242.50
  6. Step 6: Final answer
    x = 71,246.70

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.