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Finding the Third Proportional to 27,477 and 56,259

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Solution

The third proportional to 27,477 and 56,259 is: 115,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477 : 56,259 = 56,259 : x
  2. Step 2: Convert to fraction form
    27,477/56,259 = 56,259/x
  3. Step 3: Cross multiply
    27,477x = 56,259 × 56,259
  4. Step 4: Simplify right side
    27,477x = 3,165,075,081
  5. Step 5: Solve for x
    x = 3,165,075,081/27,477
  6. Step 6: Final answer
    x = 115,189.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.