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Finding the Third Proportional to 23,594 and 35,693

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Solution

The third proportional to 23,594 and 35,693 is: 53,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594 : 35,693 = 35,693 : x
  2. Step 2: Convert to fraction form
    23,594/35,693 = 35,693/x
  3. Step 3: Cross multiply
    23,594x = 35,693 × 35,693
  4. Step 4: Simplify right side
    23,594x = 1,273,990,249
  5. Step 5: Solve for x
    x = 1,273,990,249/23,594
  6. Step 6: Final answer
    x = 53,996.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.