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Finding the Third Proportional to 27,477 and 58,509

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Solution

The third proportional to 27,477 and 58,509 is: 124,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477 : 58,509 = 58,509 : x
  2. Step 2: Convert to fraction form
    27,477/58,509 = 58,509/x
  3. Step 3: Cross multiply
    27,477x = 58,509 × 58,509
  4. Step 4: Simplify right side
    27,477x = 3,423,303,081
  5. Step 5: Solve for x
    x = 3,423,303,081/27,477
  6. Step 6: Final answer
    x = 124,587.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.