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Finding the Third Proportional to 19,131.38 and 30,164.30

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Solution

The third proportional to 19,131.38 and 30,164.30 is: 47,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,131.38 : 30,164.30 = 30,164.30 : x
  2. Step 2: Convert to fraction form
    19,131.38/30,164.30 = 30,164.30/x
  3. Step 3: Cross multiply
    19,131.38x = 30,164.30 × 30,164.30
  4. Step 4: Simplify right side
    19,131.38x = 909,884,805.96
  5. Step 5: Solve for x
    x = 909,884,805.96/19,131.38
  6. Step 6: Final answer
    x = 47,559.82

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.