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Finding the Third Proportional to 20,178.56 and 29,651.06

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Solution

The third proportional to 20,178.56 and 29,651.06 is: 43,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.56 : 29,651.06 = 29,651.06 : x
  2. Step 2: Convert to fraction form
    20,178.56/29,651.06 = 29,651.06/x
  3. Step 3: Cross multiply
    20,178.56x = 29,651.06 × 29,651.06
  4. Step 4: Simplify right side
    20,178.56x = 879,185,507.38
  5. Step 5: Solve for x
    x = 879,185,507.38/20,178.56
  6. Step 6: Final answer
    x = 43,570.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.