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Finding the Third Proportional to 5,623.17 and 12,024.70

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Solution

The third proportional to 5,623.17 and 12,024.70 is: 25,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.17 : 12,024.70 = 12,024.70 : x
  2. Step 2: Convert to fraction form
    5,623.17/12,024.70 = 12,024.70/x
  3. Step 3: Cross multiply
    5,623.17x = 12,024.70 × 12,024.70
  4. Step 4: Simplify right side
    5,623.17x = 144,593,485.24
  5. Step 5: Solve for x
    x = 144,593,485.24/5,623.17
  6. Step 6: Final answer
    x = 25,713.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.