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Finding the Third Proportional to 13,904 and 32,800

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Solution

The third proportional to 13,904 and 32,800 is: 77,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904 : 32,800 = 32,800 : x
  2. Step 2: Convert to fraction form
    13,904/32,800 = 32,800/x
  3. Step 3: Cross multiply
    13,904x = 32,800 × 32,800
  4. Step 4: Simplify right side
    13,904x = 1,075,840,000
  5. Step 5: Solve for x
    x = 1,075,840,000/13,904
  6. Step 6: Final answer
    x = 77,376.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.