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Finding the Third Proportional to 21,775.50 and 32,578.88

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Solution

The third proportional to 21,775.50 and 32,578.88 is: 48,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.50 : 32,578.88 = 32,578.88 : x
  2. Step 2: Convert to fraction form
    21,775.50/32,578.88 = 32,578.88/x
  3. Step 3: Cross multiply
    21,775.50x = 32,578.88 × 32,578.88
  4. Step 4: Simplify right side
    21,775.50x = 1,061,383,096.27
  5. Step 5: Solve for x
    x = 1,061,383,096.27/21,775.50
  6. Step 6: Final answer
    x = 48,742.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.