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Finding the Third Proportional to 55,836 and 77,598

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Solution

The third proportional to 55,836 and 77,598 is: 107,841.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,836 : 77,598 = 77,598 : x
  2. Step 2: Convert to fraction form
    55,836/77,598 = 77,598/x
  3. Step 3: Cross multiply
    55,836x = 77,598 × 77,598
  4. Step 4: Simplify right side
    55,836x = 6,021,449,604
  5. Step 5: Solve for x
    x = 6,021,449,604/55,836
  6. Step 6: Final answer
    x = 107,841.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.