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Finding the Third Proportional to 30,747.09 and 67,242.66

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Solution

The third proportional to 30,747.09 and 67,242.66 is: 147,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747.09 : 67,242.66 = 67,242.66 : x
  2. Step 2: Convert to fraction form
    30,747.09/67,242.66 = 67,242.66/x
  3. Step 3: Cross multiply
    30,747.09x = 67,242.66 × 67,242.66
  4. Step 4: Simplify right side
    30,747.09x = 4,521,574,819.56
  5. Step 5: Solve for x
    x = 4,521,574,819.56/30,747.09
  6. Step 6: Final answer
    x = 147,056.98

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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.