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Finding the Third Proportional to 13,929.75 and 32,850

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Solution

The third proportional to 13,929.75 and 32,850 is: 77,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.75 : 32,850 = 32,850 : x
  2. Step 2: Convert to fraction form
    13,929.75/32,850 = 32,850/x
  3. Step 3: Cross multiply
    13,929.75x = 32,850 × 32,850
  4. Step 4: Simplify right side
    13,929.75x = 1,079,122,500
  5. Step 5: Solve for x
    x = 1,079,122,500/13,929.75
  6. Step 6: Final answer
    x = 77,468.91

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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.