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Finding the Third Proportional to 14,992 and 32,420

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Solution

The third proportional to 14,992 and 32,420 is: 70,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992 : 32,420 = 32,420 : x
  2. Step 2: Convert to fraction form
    14,992/32,420 = 32,420/x
  3. Step 3: Cross multiply
    14,992x = 32,420 × 32,420
  4. Step 4: Simplify right side
    14,992x = 1,051,056,400
  5. Step 5: Solve for x
    x = 1,051,056,400/14,992
  6. Step 6: Final answer
    x = 70,107.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.