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Finding the Third Proportional to 4,953.38 and 6,811.88

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Solution

The third proportional to 4,953.38 and 6,811.88 is: 9,367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.38 : 6,811.88 = 6,811.88 : x
  2. Step 2: Convert to fraction form
    4,953.38/6,811.88 = 6,811.88/x
  3. Step 3: Cross multiply
    4,953.38x = 6,811.88 × 6,811.88
  4. Step 4: Simplify right side
    4,953.38x = 46,401,641.02
  5. Step 5: Solve for x
    x = 46,401,641.02/4,953.38
  6. Step 6: Final answer
    x = 9,367.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.