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Finding the Third Proportional to 15,972.50 and 32,969

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Solution

The third proportional to 15,972.50 and 32,969 is: 68,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.50 : 32,969 = 32,969 : x
  2. Step 2: Convert to fraction form
    15,972.50/32,969 = 32,969/x
  3. Step 3: Cross multiply
    15,972.50x = 32,969 × 32,969
  4. Step 4: Simplify right side
    15,972.50x = 1,086,954,961
  5. Step 5: Solve for x
    x = 1,086,954,961/15,972.50
  6. Step 6: Final answer
    x = 68,051.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.