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Finding the Third Proportional to 35,723 and 77,598

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Solution

The third proportional to 35,723 and 77,598 is: 168,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,723 : 77,598 = 77,598 : x
  2. Step 2: Convert to fraction form
    35,723/77,598 = 77,598/x
  3. Step 3: Cross multiply
    35,723x = 77,598 × 77,598
  4. Step 4: Simplify right side
    35,723x = 6,021,449,604
  5. Step 5: Solve for x
    x = 6,021,449,604/35,723
  6. Step 6: Final answer
    x = 168,559.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.