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Finding the Third Proportional to 30,743.30 and 41,541.61

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Solution

The third proportional to 30,743.30 and 41,541.61 is: 56,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,743.30 : 41,541.61 = 41,541.61 : x
  2. Step 2: Convert to fraction form
    30,743.30/41,541.61 = 41,541.61/x
  3. Step 3: Cross multiply
    30,743.30x = 41,541.61 × 41,541.61
  4. Step 4: Simplify right side
    30,743.30x = 1,725,705,309.47
  5. Step 5: Solve for x
    x = 1,725,705,309.47/30,743.30
  6. Step 6: Final answer
    x = 56,132.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.