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Finding the Third Proportional to 27,023 and 43,169

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Solution

The third proportional to 27,023 and 43,169 is: 68,962.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,023 : 43,169 = 43,169 : x
  2. Step 2: Convert to fraction form
    27,023/43,169 = 43,169/x
  3. Step 3: Cross multiply
    27,023x = 43,169 × 43,169
  4. Step 4: Simplify right side
    27,023x = 1,863,562,561
  5. Step 5: Solve for x
    x = 1,863,562,561/27,023
  6. Step 6: Final answer
    x = 68,962.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.