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Finding the Third Proportional to 39,017.81 and 58,419.84

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Solution

The third proportional to 39,017.81 and 58,419.84 is: 87,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,017.81 : 58,419.84 = 58,419.84 : x
  2. Step 2: Convert to fraction form
    39,017.81/58,419.84 = 58,419.84/x
  3. Step 3: Cross multiply
    39,017.81x = 58,419.84 × 58,419.84
  4. Step 4: Simplify right side
    39,017.81x = 3,412,878,143.77
  5. Step 5: Solve for x
    x = 3,412,878,143.77/39,017.81
  6. Step 6: Final answer
    x = 87,469.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.