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Finding the Third Proportional to 19,825.50 and 29,081.25

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Solution

The third proportional to 19,825.50 and 29,081.25 is: 42,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.50 : 29,081.25 = 29,081.25 : x
  2. Step 2: Convert to fraction form
    19,825.50/29,081.25 = 29,081.25/x
  3. Step 3: Cross multiply
    19,825.50x = 29,081.25 × 29,081.25
  4. Step 4: Simplify right side
    19,825.50x = 845,719,101.56
  5. Step 5: Solve for x
    x = 845,719,101.56/19,825.50
  6. Step 6: Final answer
    x = 42,658.15

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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.