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Finding the Third Proportional to 19,825.88 and 29,190.38

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Solution

The third proportional to 19,825.88 and 29,190.38 is: 42,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.88 : 29,190.38 = 29,190.38 : x
  2. Step 2: Convert to fraction form
    19,825.88/29,190.38 = 29,190.38/x
  3. Step 3: Cross multiply
    19,825.88x = 29,190.38 × 29,190.38
  4. Step 4: Simplify right side
    19,825.88x = 852,077,992.64
  5. Step 5: Solve for x
    x = 852,077,992.64/19,825.88
  6. Step 6: Final answer
    x = 42,978.08

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