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Finding the Third Proportional to 21,132.56 and 32,908.78

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Solution

The third proportional to 21,132.56 and 32,908.78 is: 51,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.56 : 32,908.78 = 32,908.78 : x
  2. Step 2: Convert to fraction form
    21,132.56/32,908.78 = 32,908.78/x
  3. Step 3: Cross multiply
    21,132.56x = 32,908.78 × 32,908.78
  4. Step 4: Simplify right side
    21,132.56x = 1,082,987,883.36
  5. Step 5: Solve for x
    x = 1,082,987,883.36/21,132.56
  6. Step 6: Final answer
    x = 51,247.35

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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.