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Finding the Third Proportional to 15,412.50 and 23,231.25

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Solution

The third proportional to 15,412.50 and 23,231.25 is: 35,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.50 : 23,231.25 = 23,231.25 : x
  2. Step 2: Convert to fraction form
    15,412.50/23,231.25 = 23,231.25/x
  3. Step 3: Cross multiply
    15,412.50x = 23,231.25 × 23,231.25
  4. Step 4: Simplify right side
    15,412.50x = 539,690,976.56
  5. Step 5: Solve for x
    x = 539,690,976.56/15,412.50
  6. Step 6: Final answer
    x = 35,016.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.