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Finding the Third Proportional to 9,588.38 and 20,057.63

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Solution

The third proportional to 9,588.38 and 20,057.63 is: 41,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.38 : 20,057.63 = 20,057.63 : x
  2. Step 2: Convert to fraction form
    9,588.38/20,057.63 = 20,057.63/x
  3. Step 3: Cross multiply
    9,588.38x = 20,057.63 × 20,057.63
  4. Step 4: Simplify right side
    9,588.38x = 402,308,320.64
  5. Step 5: Solve for x
    x = 402,308,320.64/9,588.38
  6. Step 6: Final answer
    x = 41,957.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.