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Finding the Third Proportional to 30,349.50 and 38,460.75

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Solution

The third proportional to 30,349.50 and 38,460.75 is: 48,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,349.50 : 38,460.75 = 38,460.75 : x
  2. Step 2: Convert to fraction form
    30,349.50/38,460.75 = 38,460.75/x
  3. Step 3: Cross multiply
    30,349.50x = 38,460.75 × 38,460.75
  4. Step 4: Simplify right side
    30,349.50x = 1,479,229,290.56
  5. Step 5: Solve for x
    x = 1,479,229,290.56/30,349.50
  6. Step 6: Final answer
    x = 48,739.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.