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Finding the Third Proportional to 21,082.50 and 44,595

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Solution

The third proportional to 21,082.50 and 44,595 is: 94,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.50 : 44,595 = 44,595 : x
  2. Step 2: Convert to fraction form
    21,082.50/44,595 = 44,595/x
  3. Step 3: Cross multiply
    21,082.50x = 44,595 × 44,595
  4. Step 4: Simplify right side
    21,082.50x = 1,988,714,025
  5. Step 5: Solve for x
    x = 1,988,714,025/21,082.50
  6. Step 6: Final answer
    x = 94,330.09

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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.