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Finding the Third Proportional to 15,890.25 and 21,085.50

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Solution

The third proportional to 15,890.25 and 21,085.50 is: 27,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.25 : 21,085.50 = 21,085.50 : x
  2. Step 2: Convert to fraction form
    15,890.25/21,085.50 = 21,085.50/x
  3. Step 3: Cross multiply
    15,890.25x = 21,085.50 × 21,085.50
  4. Step 4: Simplify right side
    15,890.25x = 444,598,310.25
  5. Step 5: Solve for x
    x = 444,598,310.25/15,890.25
  6. Step 6: Final answer
    x = 27,979.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.