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Finding the Third Proportional to 15,362.16 and 32,524.03

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Solution

The third proportional to 15,362.16 and 32,524.03 is: 68,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,362.16 : 32,524.03 = 32,524.03 : x
  2. Step 2: Convert to fraction form
    15,362.16/32,524.03 = 32,524.03/x
  3. Step 3: Cross multiply
    15,362.16x = 32,524.03 × 32,524.03
  4. Step 4: Simplify right side
    15,362.16x = 1,057,812,608.75
  5. Step 5: Solve for x
    x = 1,057,812,608.75/15,362.16
  6. Step 6: Final answer
    x = 68,858.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.