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Finding the Third Proportional to 35,033 and 50,362.50

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Solution

The third proportional to 35,033 and 50,362.50 is: 72,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,033 : 50,362.50 = 50,362.50 : x
  2. Step 2: Convert to fraction form
    35,033/50,362.50 = 50,362.50/x
  3. Step 3: Cross multiply
    35,033x = 50,362.50 × 50,362.50
  4. Step 4: Simplify right side
    35,033x = 2,536,381,406.25
  5. Step 5: Solve for x
    x = 2,536,381,406.25/35,033
  6. Step 6: Final answer
    x = 72,399.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.