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Finding the Third Proportional to 19,789.31 and 30,602.81

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Solution

The third proportional to 19,789.31 and 30,602.81 is: 47,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,789.31 : 30,602.81 = 30,602.81 : x
  2. Step 2: Convert to fraction form
    19,789.31/30,602.81 = 30,602.81/x
  3. Step 3: Cross multiply
    19,789.31x = 30,602.81 × 30,602.81
  4. Step 4: Simplify right side
    19,789.31x = 936,532,132.91
  5. Step 5: Solve for x
    x = 936,532,132.91/19,789.31
  6. Step 6: Final answer
    x = 47,325.15

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Why These Related Problems?

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