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Finding the Third Proportional to 30,663.56 and 68,288.06

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Solution

The third proportional to 30,663.56 and 68,288.06 is: 152,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663.56 : 68,288.06 = 68,288.06 : x
  2. Step 2: Convert to fraction form
    30,663.56/68,288.06 = 68,288.06/x
  3. Step 3: Cross multiply
    30,663.56x = 68,288.06 × 68,288.06
  4. Step 4: Simplify right side
    30,663.56x = 4,663,259,480.00
  5. Step 5: Solve for x
    x = 4,663,259,480.00/30,663.56
  6. Step 6: Final answer
    x = 152,078.20

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.