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Finding the Third Proportional to 42,622.50 and 63,933.75

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Solution

The third proportional to 42,622.50 and 63,933.75 is: 95,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,622.50 : 63,933.75 = 63,933.75 : x
  2. Step 2: Convert to fraction form
    42,622.50/63,933.75 = 63,933.75/x
  3. Step 3: Cross multiply
    42,622.50x = 63,933.75 × 63,933.75
  4. Step 4: Simplify right side
    42,622.50x = 4,087,524,389.06
  5. Step 5: Solve for x
    x = 4,087,524,389.06/42,622.50
  6. Step 6: Final answer
    x = 95,900.63

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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.