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Finding the Third Proportional to 19,838.25 and 30,911.63

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Solution

The third proportional to 19,838.25 and 30,911.63 is: 48,165.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.25 : 30,911.63 = 30,911.63 : x
  2. Step 2: Convert to fraction form
    19,838.25/30,911.63 = 30,911.63/x
  3. Step 3: Cross multiply
    19,838.25x = 30,911.63 × 30,911.63
  4. Step 4: Simplify right side
    19,838.25x = 955,528,560.14
  5. Step 5: Solve for x
    x = 955,528,560.14/19,838.25
  6. Step 6: Final answer
    x = 48,165.97

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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.