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Finding the Third Proportional to 4,347.42 and 6,830.58

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Solution

The third proportional to 4,347.42 and 6,830.58 is: 10,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.42 : 6,830.58 = 6,830.58 : x
  2. Step 2: Convert to fraction form
    4,347.42/6,830.58 = 6,830.58/x
  3. Step 3: Cross multiply
    4,347.42x = 6,830.58 × 6,830.58
  4. Step 4: Simplify right side
    4,347.42x = 46,656,797.52
  5. Step 5: Solve for x
    x = 46,656,797.52/4,347.42
  6. Step 6: Final answer
    x = 10,732.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.