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Finding the Third Proportional to 14,992 and 32,900

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Solution

The third proportional to 14,992 and 32,900 is: 72,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992 : 32,900 = 32,900 : x
  2. Step 2: Convert to fraction form
    14,992/32,900 = 32,900/x
  3. Step 3: Cross multiply
    14,992x = 32,900 × 32,900
  4. Step 4: Simplify right side
    14,992x = 1,082,410,000
  5. Step 5: Solve for x
    x = 1,082,410,000/14,992
  6. Step 6: Final answer
    x = 72,199.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.