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Finding the Third Proportional to 19,090.13 and 39,489.75

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Solution

The third proportional to 19,090.13 and 39,489.75 is: 81,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,090.13 : 39,489.75 = 39,489.75 : x
  2. Step 2: Convert to fraction form
    19,090.13/39,489.75 = 39,489.75/x
  3. Step 3: Cross multiply
    19,090.13x = 39,489.75 × 39,489.75
  4. Step 4: Simplify right side
    19,090.13x = 1,559,440,355.06
  5. Step 5: Solve for x
    x = 1,559,440,355.06/19,090.13
  6. Step 6: Final answer
    x = 81,688.33

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.