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Finding the Third Proportional to 15,250.50 and 27,969.75

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Solution

The third proportional to 15,250.50 and 27,969.75 is: 51,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,250.50 : 27,969.75 = 27,969.75 : x
  2. Step 2: Convert to fraction form
    15,250.50/27,969.75 = 27,969.75/x
  3. Step 3: Cross multiply
    15,250.50x = 27,969.75 × 27,969.75
  4. Step 4: Simplify right side
    15,250.50x = 782,306,915.06
  5. Step 5: Solve for x
    x = 782,306,915.06/15,250.50
  6. Step 6: Final answer
    x = 51,297.13

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.