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Finding the Third Proportional to 4,525.88 and 6,834.38

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Solution

The third proportional to 4,525.88 and 6,834.38 is: 10,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525.88 : 6,834.38 = 6,834.38 : x
  2. Step 2: Convert to fraction form
    4,525.88/6,834.38 = 6,834.38/x
  3. Step 3: Cross multiply
    4,525.88x = 6,834.38 × 6,834.38
  4. Step 4: Simplify right side
    4,525.88x = 46,708,681.64
  5. Step 5: Solve for x
    x = 46,708,681.64/4,525.88
  6. Step 6: Final answer
    x = 10,320.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.