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Finding the Third Proportional to 19,971 and 28,768.50

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Solution

The third proportional to 19,971 and 28,768.50 is: 41,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971 : 28,768.50 = 28,768.50 : x
  2. Step 2: Convert to fraction form
    19,971/28,768.50 = 28,768.50/x
  3. Step 3: Cross multiply
    19,971x = 28,768.50 × 28,768.50
  4. Step 4: Simplify right side
    19,971x = 827,626,592.25
  5. Step 5: Solve for x
    x = 827,626,592.25/19,971
  6. Step 6: Final answer
    x = 41,441.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.