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Finding the Third Proportional to 20,049.19 and 43,275.94

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Solution

The third proportional to 20,049.19 and 43,275.94 is: 93,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.19 : 43,275.94 = 43,275.94 : x
  2. Step 2: Convert to fraction form
    20,049.19/43,275.94 = 43,275.94/x
  3. Step 3: Cross multiply
    20,049.19x = 43,275.94 × 43,275.94
  4. Step 4: Simplify right side
    20,049.19x = 1,872,806,766.50
  5. Step 5: Solve for x
    x = 1,872,806,766.50/20,049.19
  6. Step 6: Final answer
    x = 93,410.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.