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Finding the Third Proportional to 27,497 and 43,707

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Solution

The third proportional to 27,497 and 43,707 is: 69,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497 : 43,707 = 43,707 : x
  2. Step 2: Convert to fraction form
    27,497/43,707 = 43,707/x
  3. Step 3: Cross multiply
    27,497x = 43,707 × 43,707
  4. Step 4: Simplify right side
    27,497x = 1,910,301,849
  5. Step 5: Solve for x
    x = 1,910,301,849/27,497
  6. Step 6: Final answer
    x = 69,473.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.