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Finding the Third Proportional to 4,358.02 and 8,945.75

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Solution

The third proportional to 4,358.02 and 8,945.75 is: 18,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.02 : 8,945.75 = 8,945.75 : x
  2. Step 2: Convert to fraction form
    4,358.02/8,945.75 = 8,945.75/x
  3. Step 3: Cross multiply
    4,358.02x = 8,945.75 × 8,945.75
  4. Step 4: Simplify right side
    4,358.02x = 80,026,512.95
  5. Step 5: Solve for x
    x = 80,026,512.95/4,358.02
  6. Step 6: Final answer
    x = 18,363.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.