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Finding the Third Proportional to 27,487 and 58,861

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Solution

The third proportional to 27,487 and 58,861 is: 126,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,487 : 58,861 = 58,861 : x
  2. Step 2: Convert to fraction form
    27,487/58,861 = 58,861/x
  3. Step 3: Cross multiply
    27,487x = 58,861 × 58,861
  4. Step 4: Simplify right side
    27,487x = 3,464,617,321
  5. Step 5: Solve for x
    x = 3,464,617,321/27,487
  6. Step 6: Final answer
    x = 126,045.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.