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Finding the Third Proportional to 30,572.44 and 43,295.77

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Solution

The third proportional to 30,572.44 and 43,295.77 is: 61,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.44 : 43,295.77 = 43,295.77 : x
  2. Step 2: Convert to fraction form
    30,572.44/43,295.77 = 43,295.77/x
  3. Step 3: Cross multiply
    30,572.44x = 43,295.77 × 43,295.77
  4. Step 4: Simplify right side
    30,572.44x = 1,874,523,321.05
  5. Step 5: Solve for x
    x = 1,874,523,321.05/30,572.44
  6. Step 6: Final answer
    x = 61,314.16

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Why These Related Problems?

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