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Finding the Third Proportional to 4,567.50 and 6,825.94

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Solution

The third proportional to 4,567.50 and 6,825.94 is: 10,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.50 : 6,825.94 = 6,825.94 : x
  2. Step 2: Convert to fraction form
    4,567.50/6,825.94 = 6,825.94/x
  3. Step 3: Cross multiply
    4,567.50x = 6,825.94 × 6,825.94
  4. Step 4: Simplify right side
    4,567.50x = 46,593,422.75
  5. Step 5: Solve for x
    x = 46,593,422.75/4,567.50
  6. Step 6: Final answer
    x = 10,201.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.