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Finding the Third Proportional to 19,738.69 and 30,337.88

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Solution

The third proportional to 19,738.69 and 30,337.88 is: 46,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738.69 : 30,337.88 = 30,337.88 : x
  2. Step 2: Convert to fraction form
    19,738.69/30,337.88 = 30,337.88/x
  3. Step 3: Cross multiply
    19,738.69x = 30,337.88 × 30,337.88
  4. Step 4: Simplify right side
    19,738.69x = 920,386,659.52
  5. Step 5: Solve for x
    x = 920,386,659.52/19,738.69
  6. Step 6: Final answer
    x = 46,628.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.