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Finding the Third Proportional to 19,487.25 and 30,371.63

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Solution

The third proportional to 19,487.25 and 30,371.63 is: 47,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,487.25 : 30,371.63 = 30,371.63 : x
  2. Step 2: Convert to fraction form
    19,487.25/30,371.63 = 30,371.63/x
  3. Step 3: Cross multiply
    19,487.25x = 30,371.63 × 30,371.63
  4. Step 4: Simplify right side
    19,487.25x = 922,435,605.14
  5. Step 5: Solve for x
    x = 922,435,605.14/19,487.25
  6. Step 6: Final answer
    x = 47,335.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.