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Finding the Third Proportional to 8,572 and 13,738

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Solution

The third proportional to 8,572 and 13,738 is: 22,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572 : 13,738 = 13,738 : x
  2. Step 2: Convert to fraction form
    8,572/13,738 = 13,738/x
  3. Step 3: Cross multiply
    8,572x = 13,738 × 13,738
  4. Step 4: Simplify right side
    8,572x = 188,732,644
  5. Step 5: Solve for x
    x = 188,732,644/8,572
  6. Step 6: Final answer
    x = 22,017.34

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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.