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Finding the Third Proportional to 8,957.63 and 19,449.38

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Solution

The third proportional to 8,957.63 and 19,449.38 is: 42,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.63 : 19,449.38 = 19,449.38 : x
  2. Step 2: Convert to fraction form
    8,957.63/19,449.38 = 19,449.38/x
  3. Step 3: Cross multiply
    8,957.63x = 19,449.38 × 19,449.38
  4. Step 4: Simplify right side
    8,957.63x = 378,278,187.89
  5. Step 5: Solve for x
    x = 378,278,187.89/8,957.63
  6. Step 6: Final answer
    x = 42,229.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.