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Finding the Third Proportional to 19,467.32 and 30,498.56

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Solution

The third proportional to 19,467.32 and 30,498.56 is: 47,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,467.32 : 30,498.56 = 30,498.56 : x
  2. Step 2: Convert to fraction form
    19,467.32/30,498.56 = 30,498.56/x
  3. Step 3: Cross multiply
    19,467.32x = 30,498.56 × 30,498.56
  4. Step 4: Simplify right side
    19,467.32x = 930,161,957.16
  5. Step 5: Solve for x
    x = 930,161,957.16/19,467.32
  6. Step 6: Final answer
    x = 47,780.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.