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Finding the Third Proportional to 23,535 and 51,734.38

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Solution

The third proportional to 23,535 and 51,734.38 is: 113,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535 : 51,734.38 = 51,734.38 : x
  2. Step 2: Convert to fraction form
    23,535/51,734.38 = 51,734.38/x
  3. Step 3: Cross multiply
    23,535x = 51,734.38 × 51,734.38
  4. Step 4: Simplify right side
    23,535x = 2,676,445,556.64
  5. Step 5: Solve for x
    x = 2,676,445,556.64/23,535
  6. Step 6: Final answer
    x = 113,721.93

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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.