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Finding the Third Proportional to 35,572.50 and 72,379.50

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Solution

The third proportional to 35,572.50 and 72,379.50 is: 147,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,572.50 : 72,379.50 = 72,379.50 : x
  2. Step 2: Convert to fraction form
    35,572.50/72,379.50 = 72,379.50/x
  3. Step 3: Cross multiply
    35,572.50x = 72,379.50 × 72,379.50
  4. Step 4: Simplify right side
    35,572.50x = 5,238,792,020.25
  5. Step 5: Solve for x
    x = 5,238,792,020.25/35,572.50
  6. Step 6: Final answer
    x = 147,270.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.