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Finding the Third Proportional to 824.63 and 1,945.13

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Solution

The third proportional to 824.63 and 1,945.13 is: 4,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.63 : 1,945.13 = 1,945.13 : x
  2. Step 2: Convert to fraction form
    824.63/1,945.13 = 1,945.13/x
  3. Step 3: Cross multiply
    824.63x = 1,945.13 × 1,945.13
  4. Step 4: Simplify right side
    824.63x = 3,783,511.27
  5. Step 5: Solve for x
    x = 3,783,511.27/824.63
  6. Step 6: Final answer
    x = 4,588.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.