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Finding the Third Proportional to 30,783.38 and 67,351.50

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Solution

The third proportional to 30,783.38 and 67,351.50 is: 147,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.38 : 67,351.50 = 67,351.50 : x
  2. Step 2: Convert to fraction form
    30,783.38/67,351.50 = 67,351.50/x
  3. Step 3: Cross multiply
    30,783.38x = 67,351.50 × 67,351.50
  4. Step 4: Simplify right side
    30,783.38x = 4,536,224,552.25
  5. Step 5: Solve for x
    x = 4,536,224,552.25/30,783.38
  6. Step 6: Final answer
    x = 147,359.56

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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.