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Finding the Third Proportional to 19,837.41 and 30,735.70

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Solution

The third proportional to 19,837.41 and 30,735.70 is: 47,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,837.41 : 30,735.70 = 30,735.70 : x
  2. Step 2: Convert to fraction form
    19,837.41/30,735.70 = 30,735.70/x
  3. Step 3: Cross multiply
    19,837.41x = 30,735.70 × 30,735.70
  4. Step 4: Simplify right side
    19,837.41x = 944,683,446.59
  5. Step 5: Solve for x
    x = 944,683,446.59/19,837.41
  6. Step 6: Final answer
    x = 47,621.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.