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Finding the Third Proportional to 27,835 and 49,057

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Solution

The third proportional to 27,835 and 49,057 is: 86,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835 : 49,057 = 49,057 : x
  2. Step 2: Convert to fraction form
    27,835/49,057 = 49,057/x
  3. Step 3: Cross multiply
    27,835x = 49,057 × 49,057
  4. Step 4: Simplify right side
    27,835x = 2,406,589,249
  5. Step 5: Solve for x
    x = 2,406,589,249/27,835
  6. Step 6: Final answer
    x = 86,459.11

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.