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Finding the Third Proportional to 14,997 and 32,991

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Solution

The third proportional to 14,997 and 32,991 is: 72,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997 : 32,991 = 32,991 : x
  2. Step 2: Convert to fraction form
    14,997/32,991 = 32,991/x
  3. Step 3: Cross multiply
    14,997x = 32,991 × 32,991
  4. Step 4: Simplify right side
    14,997x = 1,088,406,081
  5. Step 5: Solve for x
    x = 1,088,406,081/14,997
  6. Step 6: Final answer
    x = 72,574.92

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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.