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Finding the Third Proportional to 4,655.92 and 10,208.85

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Solution

The third proportional to 4,655.92 and 10,208.85 is: 22,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.92 : 10,208.85 = 10,208.85 : x
  2. Step 2: Convert to fraction form
    4,655.92/10,208.85 = 10,208.85/x
  3. Step 3: Cross multiply
    4,655.92x = 10,208.85 × 10,208.85
  4. Step 4: Simplify right side
    4,655.92x = 104,220,570.47
  5. Step 5: Solve for x
    x = 104,220,570.47/4,655.92
  6. Step 6: Final answer
    x = 22,384.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.