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Finding the Third Proportional to 19,957.22 and 27,748.83

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Solution

The third proportional to 19,957.22 and 27,748.83 is: 38,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.22 : 27,748.83 = 27,748.83 : x
  2. Step 2: Convert to fraction form
    19,957.22/27,748.83 = 27,748.83/x
  3. Step 3: Cross multiply
    19,957.22x = 27,748.83 × 27,748.83
  4. Step 4: Simplify right side
    19,957.22x = 769,997,462.31
  5. Step 5: Solve for x
    x = 769,997,462.31/19,957.22
  6. Step 6: Final answer
    x = 38,582.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.