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Finding the Third Proportional to 26,199 and 53,613

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Solution

The third proportional to 26,199 and 53,613 is: 109,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,199 : 53,613 = 53,613 : x
  2. Step 2: Convert to fraction form
    26,199/53,613 = 53,613/x
  3. Step 3: Cross multiply
    26,199x = 53,613 × 53,613
  4. Step 4: Simplify right side
    26,199x = 2,874,353,769
  5. Step 5: Solve for x
    x = 2,874,353,769/26,199
  6. Step 6: Final answer
    x = 109,712.35

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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.