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Finding the Third Proportional to 14,960 and 32,914

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Solution

The third proportional to 14,960 and 32,914 is: 72,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960 : 32,914 = 32,914 : x
  2. Step 2: Convert to fraction form
    14,960/32,914 = 32,914/x
  3. Step 3: Cross multiply
    14,960x = 32,914 × 32,914
  4. Step 4: Simplify right side
    14,960x = 1,083,331,396
  5. Step 5: Solve for x
    x = 1,083,331,396/14,960
  6. Step 6: Final answer
    x = 72,415.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.