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Finding the Third Proportional to 14,838 and 20,871

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Solution

The third proportional to 14,838 and 20,871 is: 29,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838 : 20,871 = 20,871 : x
  2. Step 2: Convert to fraction form
    14,838/20,871 = 20,871/x
  3. Step 3: Cross multiply
    14,838x = 20,871 × 20,871
  4. Step 4: Simplify right side
    14,838x = 435,598,641
  5. Step 5: Solve for x
    x = 435,598,641/14,838
  6. Step 6: Final answer
    x = 29,356.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.