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Finding the Third Proportional to 27,205 and 41,613

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Solution

The third proportional to 27,205 and 41,613 is: 63,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205 : 41,613 = 41,613 : x
  2. Step 2: Convert to fraction form
    27,205/41,613 = 41,613/x
  3. Step 3: Cross multiply
    27,205x = 41,613 × 41,613
  4. Step 4: Simplify right side
    27,205x = 1,731,641,769
  5. Step 5: Solve for x
    x = 1,731,641,769/27,205
  6. Step 6: Final answer
    x = 63,651.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.