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Finding the Third Proportional to 21,524.63 and 33,247.13

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Solution

The third proportional to 21,524.63 and 33,247.13 is: 51,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.63 : 33,247.13 = 33,247.13 : x
  2. Step 2: Convert to fraction form
    21,524.63/33,247.13 = 33,247.13/x
  3. Step 3: Cross multiply
    21,524.63x = 33,247.13 × 33,247.13
  4. Step 4: Simplify right side
    21,524.63x = 1,105,371,320.77
  5. Step 5: Solve for x
    x = 1,105,371,320.77/21,524.63
  6. Step 6: Final answer
    x = 51,353.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.