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Finding the Third Proportional to 14,712 and 20,960

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Solution

The third proportional to 14,712 and 20,960 is: 29,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712 : 20,960 = 20,960 : x
  2. Step 2: Convert to fraction form
    14,712/20,960 = 20,960/x
  3. Step 3: Cross multiply
    14,712x = 20,960 × 20,960
  4. Step 4: Simplify right side
    14,712x = 439,321,600
  5. Step 5: Solve for x
    x = 439,321,600/14,712
  6. Step 6: Final answer
    x = 29,861.45

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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.