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Finding the Third Proportional to 50,603.50 and 75,630

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Solution

The third proportional to 50,603.50 and 75,630 is: 113,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,603.50 : 75,630 = 75,630 : x
  2. Step 2: Convert to fraction form
    50,603.50/75,630 = 75,630/x
  3. Step 3: Cross multiply
    50,603.50x = 75,630 × 75,630
  4. Step 4: Simplify right side
    50,603.50x = 5,719,896,900
  5. Step 5: Solve for x
    x = 5,719,896,900/50,603.50
  6. Step 6: Final answer
    x = 113,033.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.