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Finding the Third Proportional to 30,642.75 and 62,581.50

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Solution

The third proportional to 30,642.75 and 62,581.50 is: 127,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.75 : 62,581.50 = 62,581.50 : x
  2. Step 2: Convert to fraction form
    30,642.75/62,581.50 = 62,581.50/x
  3. Step 3: Cross multiply
    30,642.75x = 62,581.50 × 62,581.50
  4. Step 4: Simplify right side
    30,642.75x = 3,916,444,142.25
  5. Step 5: Solve for x
    x = 3,916,444,142.25/30,642.75
  6. Step 6: Final answer
    x = 127,809.81

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.