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Finding the Third Proportional to 5,623.13 and 12,025.13

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Solution

The third proportional to 5,623.13 and 12,025.13 is: 25,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.13 : 12,025.13 = 12,025.13 : x
  2. Step 2: Convert to fraction form
    5,623.13/12,025.13 = 12,025.13/x
  3. Step 3: Cross multiply
    5,623.13x = 12,025.13 × 12,025.13
  4. Step 4: Simplify right side
    5,623.13x = 144,603,631.27
  5. Step 5: Solve for x
    x = 144,603,631.27/5,623.13
  6. Step 6: Final answer
    x = 25,715.88

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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.