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Finding the Third Proportional to 27,269 and 59,465

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Solution

The third proportional to 27,269 and 59,465 is: 129,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,269 : 59,465 = 59,465 : x
  2. Step 2: Convert to fraction form
    27,269/59,465 = 59,465/x
  3. Step 3: Cross multiply
    27,269x = 59,465 × 59,465
  4. Step 4: Simplify right side
    27,269x = 3,536,086,225
  5. Step 5: Solve for x
    x = 3,536,086,225/27,269
  6. Step 6: Final answer
    x = 129,674.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.