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Finding the Third Proportional to 15,997.50 and 24,902.25

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Solution

The third proportional to 15,997.50 and 24,902.25 is: 38,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.50 : 24,902.25 = 24,902.25 : x
  2. Step 2: Convert to fraction form
    15,997.50/24,902.25 = 24,902.25/x
  3. Step 3: Cross multiply
    15,997.50x = 24,902.25 × 24,902.25
  4. Step 4: Simplify right side
    15,997.50x = 620,122,055.06
  5. Step 5: Solve for x
    x = 620,122,055.06/15,997.50
  6. Step 6: Final answer
    x = 38,763.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.