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Finding the Third Proportional to 30,378.38 and 66,291.75

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Solution

The third proportional to 30,378.38 and 66,291.75 is: 144,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.38 : 66,291.75 = 66,291.75 : x
  2. Step 2: Convert to fraction form
    30,378.38/66,291.75 = 66,291.75/x
  3. Step 3: Cross multiply
    30,378.38x = 66,291.75 × 66,291.75
  4. Step 4: Simplify right side
    30,378.38x = 4,394,596,118.06
  5. Step 5: Solve for x
    x = 4,394,596,118.06/30,378.38
  6. Step 6: Final answer
    x = 144,661.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.