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Finding the Third Proportional to 30,223.13 and 68,472.84

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Solution

The third proportional to 30,223.13 and 68,472.84 is: 155,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.13 : 68,472.84 = 68,472.84 : x
  2. Step 2: Convert to fraction form
    30,223.13/68,472.84 = 68,472.84/x
  3. Step 3: Cross multiply
    30,223.13x = 68,472.84 × 68,472.84
  4. Step 4: Simplify right side
    30,223.13x = 4,688,530,331.21
  5. Step 5: Solve for x
    x = 4,688,530,331.21/30,223.13
  6. Step 6: Final answer
    x = 155,130.56

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.