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Finding the Third Proportional to 20,778.75 and 45,111.38

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Solution

The third proportional to 20,778.75 and 45,111.38 is: 97,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.75 : 45,111.38 = 45,111.38 : x
  2. Step 2: Convert to fraction form
    20,778.75/45,111.38 = 45,111.38/x
  3. Step 3: Cross multiply
    20,778.75x = 45,111.38 × 45,111.38
  4. Step 4: Simplify right side
    20,778.75x = 2,035,036,154.39
  5. Step 5: Solve for x
    x = 2,035,036,154.39/20,778.75
  6. Step 6: Final answer
    x = 97,938.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.