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Finding the Third Proportional to 14,276 and 20,291

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Solution

The third proportional to 14,276 and 20,291 is: 28,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276 : 20,291 = 20,291 : x
  2. Step 2: Convert to fraction form
    14,276/20,291 = 20,291/x
  3. Step 3: Cross multiply
    14,276x = 20,291 × 20,291
  4. Step 4: Simplify right side
    14,276x = 411,724,681
  5. Step 5: Solve for x
    x = 411,724,681/14,276
  6. Step 6: Final answer
    x = 28,840.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.