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Finding the Third Proportional to 4,468.38 and 6,798.63

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Solution

The third proportional to 4,468.38 and 6,798.63 is: 10,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.38 : 6,798.63 = 6,798.63 : x
  2. Step 2: Convert to fraction form
    4,468.38/6,798.63 = 6,798.63/x
  3. Step 3: Cross multiply
    4,468.38x = 6,798.63 × 6,798.63
  4. Step 4: Simplify right side
    4,468.38x = 46,221,301.89
  5. Step 5: Solve for x
    x = 46,221,301.89/4,468.38
  6. Step 6: Final answer
    x = 10,344.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.