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Finding the Third Proportional to 23,595.25 and 51,853

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Solution

The third proportional to 23,595.25 and 51,853 is: 113,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,595.25 : 51,853 = 51,853 : x
  2. Step 2: Convert to fraction form
    23,595.25/51,853 = 51,853/x
  3. Step 3: Cross multiply
    23,595.25x = 51,853 × 51,853
  4. Step 4: Simplify right side
    23,595.25x = 2,688,733,609
  5. Step 5: Solve for x
    x = 2,688,733,609/23,595.25
  6. Step 6: Final answer
    x = 113,952.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.