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Finding the Third Proportional to 21,504.50 and 32,581

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Solution

The third proportional to 21,504.50 and 32,581 is: 49,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504.50 : 32,581 = 32,581 : x
  2. Step 2: Convert to fraction form
    21,504.50/32,581 = 32,581/x
  3. Step 3: Cross multiply
    21,504.50x = 32,581 × 32,581
  4. Step 4: Simplify right side
    21,504.50x = 1,061,521,561
  5. Step 5: Solve for x
    x = 1,061,521,561/21,504.50
  6. Step 6: Final answer
    x = 49,362.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.