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Finding the Third Proportional to 11,732 and 14,871

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Solution

The third proportional to 11,732 and 14,871 is: 18,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732 : 14,871 = 14,871 : x
  2. Step 2: Convert to fraction form
    11,732/14,871 = 14,871/x
  3. Step 3: Cross multiply
    11,732x = 14,871 × 14,871
  4. Step 4: Simplify right side
    11,732x = 221,146,641
  5. Step 5: Solve for x
    x = 221,146,641/11,732
  6. Step 6: Final answer
    x = 18,849.87

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.