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Finding the Third Proportional to 30,954.50 and 67,842.75

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Solution

The third proportional to 30,954.50 and 67,842.75 is: 148,690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.50 : 67,842.75 = 67,842.75 : x
  2. Step 2: Convert to fraction form
    30,954.50/67,842.75 = 67,842.75/x
  3. Step 3: Cross multiply
    30,954.50x = 67,842.75 × 67,842.75
  4. Step 4: Simplify right side
    30,954.50x = 4,602,638,727.56
  5. Step 5: Solve for x
    x = 4,602,638,727.56/30,954.50
  6. Step 6: Final answer
    x = 148,690.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.