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Finding the Third Proportional to 23,743.58 and 51,703.92

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Solution

The third proportional to 23,743.58 and 51,703.92 is: 112,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,743.58 : 51,703.92 = 51,703.92 : x
  2. Step 2: Convert to fraction form
    23,743.58/51,703.92 = 51,703.92/x
  3. Step 3: Cross multiply
    23,743.58x = 51,703.92 × 51,703.92
  4. Step 4: Simplify right side
    23,743.58x = 2,673,294,893.48
  5. Step 5: Solve for x
    x = 2,673,294,893.48/23,743.58
  6. Step 6: Final answer
    x = 112,590.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.