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Finding the Third Proportional to 30,000.38 and 38,712.94

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Solution

The third proportional to 30,000.38 and 38,712.94 is: 49,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.38 : 38,712.94 = 38,712.94 : x
  2. Step 2: Convert to fraction form
    30,000.38/38,712.94 = 38,712.94/x
  3. Step 3: Cross multiply
    30,000.38x = 38,712.94 × 38,712.94
  4. Step 4: Simplify right side
    30,000.38x = 1,498,691,529.88
  5. Step 5: Solve for x
    x = 1,498,691,529.88/30,000.38
  6. Step 6: Final answer
    x = 49,955.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.