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Finding the Third Proportional to 19,829.75 and 29,197.75

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Solution

The third proportional to 19,829.75 and 29,197.75 is: 42,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.75 : 29,197.75 = 29,197.75 : x
  2. Step 2: Convert to fraction form
    19,829.75/29,197.75 = 29,197.75/x
  3. Step 3: Cross multiply
    19,829.75x = 29,197.75 × 29,197.75
  4. Step 4: Simplify right side
    19,829.75x = 852,508,605.06
  5. Step 5: Solve for x
    x = 852,508,605.06/19,829.75
  6. Step 6: Final answer
    x = 42,991.39

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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.