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Finding the Third Proportional to 21,622.50 and 32,123.25

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Solution

The third proportional to 21,622.50 and 32,123.25 is: 47,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.50 : 32,123.25 = 32,123.25 : x
  2. Step 2: Convert to fraction form
    21,622.50/32,123.25 = 32,123.25/x
  3. Step 3: Cross multiply
    21,622.50x = 32,123.25 × 32,123.25
  4. Step 4: Simplify right side
    21,622.50x = 1,031,903,190.56
  5. Step 5: Solve for x
    x = 1,031,903,190.56/21,622.50
  6. Step 6: Final answer
    x = 47,723.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.